References: I.J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January 19, 2019, pp.1-53,  http://doi.org/10.5281/zenodo.2544527. I.J. Taneja, Selfie Fractions: Addable, Subtractable, Dottable and Potentiable, Zenodo, March 24, 2019, pp. 1-260, http://doi.org/10.5281/zenodo.2604531.

References I.J. Taneja, Fixed and Flexible Power Narcissistic Numbers with Division,  https://inderjtaneja.com/2018/09/25/2652/. Also, Fixed and Flexible Powers Narcissistic Numbers with Division,Zenodo, February 19, 2019, pp. 1-142, http://doi.org/10.5281/zenodo.2573047. I.J. Taneja, Factorial-Power Selfie Expressions, Zenodo, February 20, 2019, pp. 1-115, http://doi.org/10.5281/zenodo.2573569. I.J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, … Continue reading 163rd Day of Year: 12.06.19

References I.J. Taneja, Palindromic, Patterned Magic Sums, Composite, and Colored Patterns in Magic Squares. Zenodo, February 2, 2019, pp. 1-99, http://doi.org/10.5281/zenodo.2555741http://doi.org/10.5281/zenodo.2555741. I.J. Taneja, Embedded Palindromic Prime Numbers - I, RGMIA Research Report Collection, 20(2017), Art. 121, pp. 1-86, http://rgmia.org/papers/v20/v20a121.pdf.

References I. J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January 19, 2019, pp.1-53, http://doi.org/10.5281/zenodo.2544527. I.J. Taneja, Palindromic-Type Pandigital Patterns in Pythagorean Triples, Zenodo, , January 20, 2019, pp. 1-160, http://doi.org/10.5281/zenodo.2544551. Also in: https://inderjtaneja.com/2018/08/04/2499/. I.J. Taneja, Generating Pythagorean Triples, Patterns, and Magic Squares, Zenodo,  January 20, 2019, pp. 1-121, http://doi.org/10.5281/zenodo.2544555.  Also in:  https://inderjtaneja.com/2018/09/24/pythagorean-triples-generating-pandigial-palindromic-type-patterns-and-magic-squares/ Inder J. Taneja, Product and Power Type Amicable Numbers https://inderjtaneja.com/2017/12/19/product-and-power-type-amicable-numbers/ … Continue reading 160th Day of Year: 09.06.19

REFERENCES I. J. Taneja, Patterns in Prime Numbers: Fixed Digits Repetitions,   https://inderjtaneja.com/2017/07/14/fixed-length-multiple-choice-patterns-in-prime-numbers/ I. J. Taneja, Fixed Digits Repetitions Prime Patterns of Lengths 10, 9 and 8. Zenodo, February 8, 2019, pp. 1-175, http://doi.org/10.5281/zenodo.2560640. I. J. Taneja, Fixed Digits Repetitions Prime Patterns of Length 7. Zenodo, February 8, 2019, pp. 1-176, http://doi.org/10.5281/zenodo.2560668. I. J. Taneja, Fixed Digits Repetitions … Continue reading 159th Day of Year: 08.06.19

References Inder J. Taneja, Same Digits Equality Expressions, https://inderjtaneja.com/2017/02/23/same-digits-equality-expressions/ Single Letter Representations of Natural Numbers, https://inderjtaneja.com/2017/08/19/single-letter-representations-of-natural-numbers/ Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203, http://doi.org/10.5281/zenodo.2556902.

References: Inder J. Taneja, Semi-Selfie Numbers, https://inderjtaneja.com/2017/07/11/semi-selfie-numbers/ I. J. Taneja, Patterns in Prime Numbers: Fixed Digits Repetitions,   https://inderjtaneja.com/2017/07/14/fixed-length-multiple-choice-patterns-in-prime-numbers/ I. J. Taneja, Fixed Digits Repetitions Prime Patterns of Lengths 10, 9 and 8. Zenodo, February 8, 2019, pp. 1-175, http://doi.org/10.5281/zenodo.2560640. I. J. Taneja, Fixed Digits Repetitions Prime Patterns of Length 7. Zenodo, February 8, 2019, pp. 1-176, http://doi.org/10.5281/zenodo.2560668. I. … Continue reading 157th Day of Year: 06.06.19

References: Inder J. Taneja. (2019). Different Digits Equivalent Fractions – I, Zenodo, March 24, 2019, pp. 1-165, http://doi.org/10.5281/zenodo.2604565. Inder J. Taneja. (2019). Different Digits Equivalent Fractions – II, Zenodo, March 24, 2019, pp. 1-244, http://doi.org/10.5281/zenodo.2604738. Inder J. Taneja, Semi-Selfie Numbers, https://inderjtaneja.com/2017/07/11/semi-selfie-numbers/

REFERENCES Inder J. Taneja. (2019).  Selfie Fractions: Addable, Subtractable, Dottable and Potentiable, Zenodo, March 24, 2019, pp. 1-260,  http://doi.org/10.5281/zenodo.2604531.

REFERENCES Inder J. Taneja. (2019).  Selfie Fractions: Addable, Subtractable, Dottable and Potentiable, Zenodo, March 24, 2019, pp. 1-260,  http://doi.org/10.5281/zenodo.2604531.

References: Inder J. Taneja, Narcissistic-Type Selfie Numbers with Division,  https://inderjtaneja.com/2017/08/23/narcissistic-type-selfie-numbers-with-division/ Inder J. Taneja, Product and Power Type Amicable Numbers https://inderjtaneja.com/2017/12/19/product-and-power-type-amicable-numbers/ Inder J. Taneja, Semi-Selfie Numbers, https://inderjtaneja.com/2017/07/11/semi-selfie-numbers/