Recreational Mathematics · Selfie Representations

Binomial, Fibonacci and Triangular Selfie Numbers Generator

C(a,b) · Digit Order and Reverse
Optional Factorial, Square Root, Fibonacci and Triangular

Created by Inder J. Taneja

Definition. A number is reported when its own digits, used exactly once in the selected original or reverse order, form a nontrivial expression equal to the number. Concatenation of adjacent digits is permitted. Example format: N := expression made from the digits of N.

Choose the search

Digit order
Required function

C(a,b) = a! ÷ (b!(a−b)!). Every reported expression contains C(a,b), with 0 < b < a. Trivial C(a,0) and C(a,a) are excluded.

Factorial and square root in the representation
Fibonacci and triangular in the representation

Basic operations + powers are available. Optional functions can occur anywhere in a representation containing a nontrivial C(a,b). They do not appear as separate result categories.

Solutions for each number and digit order
Search controls

Exact integer division is used. The intermediate limit prevents powers and repeated factorials from exhausting the browser.

Verified output

Selfie representations

0 checked0 found
Choose an interval and operations, then generate. Results will appear here as they are verified.

References

This work is based on the author’s following research:

  1. Inder J. Taneja, Selfie Numbers with Binomial Coefficients, Zenodo, March 17, 2019, pp. 1–131. doi:10.5281/zenodo.2596421 ↗
  2. Inder J. Taneja, Selfie Numbers with Binomial Coefficients and Fibonacci Numbers, Zenodo, March 30, 2019, pp. 1–148. doi:10.5281/zenodo.2617290 ↗
  3. Inder J. Taneja, Binomial Coefficients Triangular Type Selfie Numbers: Basic Operations, Zenodo, April 25, 2019, pp. 1–72. doi:10.5281/zenodo.2650508 ↗
  4. Inder J. Taneja, Selfie Numbers with Binomial Coefficients, Triangular Numbers and Square-Root, Zenodo, May 10, 2019, pp. 1–209. doi:10.5281/zenodo.2707318 ↗
  5. Inder J. Taneja, Selfie Numbers with Binomial Coefficients, Triangular Numbers and Factorial, Zenodo, July 9, 2019, pp. 1–172. doi:10.5281/zenodo.3273300 ↗

Previous work:

  1. Inder J. Taneja, Selfie Numbers and Binomial Coefficients, RGMIA Research Report Collection, 20 (2017), Art. 25, pp. 1–18. RGMIA PDF ↗
  2. Inder J. Taneja, Binomial Coefficients Type Selfie Numbers, RGMIA Research Report Collection, 21 (2018), Art. 102, pp. 1–113. RGMIA PDF ↗
  3. Inder J. Taneja, Binomial Coefficient Type Selfie Numbers: Digit’s Order, September 25, 2018. WordPress article ↗
  4. Inder J. Taneja, Binomial Coefficient Type Selfie Numbers: Reverse Order of Digits, September 25, 2018. WordPress article ↗
  5. Inder J. Taneja, Selfie Numbers and Binomial Coefficients, October 28, 2017. WordPress article ↗