A141907 a(n) = Sum_{k=0..n-1} (Sum_{j=0..k+1} (-1)^j*binomial(n + 1, j)*(k + 1 - j)^n) mod 10 * 10^k.

1, 11, 141, 1111, 16661, 172271, 1016101, 17399371, 128404821, 1302442031, 16784848761, 131546645131, 1860584850681, 19465322356491, 129218121812921, 1955997557995591, 14000280008200041, 154002080080200451

Offset

1,2

Comments

A palindromic number sequence based on the Eulerian numbers modulo ten and base ten.

Links

Table of n, a(n) for n=1..18.

Eric Weisstein's World of Mathematics, Palindromic Number.

Formula

a(n)=Sum[Mod[Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}], 10]*10^k, {k, 0, n - 1}].

Mathematica

Table[Sum[Mod[Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}], 10]*10^k, {k, 0, n - 1}], {n, 1, 30}]

Crossrefs

Sequence in context: A024142 A024296 A324084 * A205084 A083078 A048965

Adjacent sequences: A141904 A141905 A141906 * A141908 A141909 A141910

Keyword

nonn,base

Author

Roger L. Bagula and Gary W. Adamson, Sep 14 2008

Extensions

Edited by Michel Marcus, Jan 30 2013

Status

approved