A127319 a(n)={binomial[n,(sum of decimal digits of n)] mod n}, with n>=1.

0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 0, 0, 10, 0, 0, 2, 0, 10, 7, 11, 0, 4, 0, 13, 3, 14, 0, 10, 0, 0, 22, 0, 0, 4, 0, 0, 13, 30, 0, 28, 0, 11, 5, 23, 0, 20, 0, 10, 34, 0, 0, 6, 0, 0, 0, 0, 0, 40, 0, 31, 7, 32, 0, 22, 0, 0, 46, 10, 0, 8, 0, 0, 50, 0, 55, 26, 0, 30, 9, 0, 0, 42, 0, 0, 0, 11, 0, 10, 0, 0

Offset

0,12

Links

Table of n, a(n) for n=0..91.

Maple

P:=proc(n) local i, k, w; for i from 1 by 1 to n do w:=0; k:=i; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; k:=(binomial(i, w) mod i); print(k); od; end: P(100);

Mathematica

Table[Mod[Binomial[n, Total[IntegerDigits[n]]], n], {n, 100}] (* Harvey P. Dale, Dec 19 2011 *)

Crossrefs

Sequence in context: A249035 A244121 A127774 * A272626 A271910 A249346

Adjacent sequences: A127316 A127317 A127318 * A127320 A127321 A127322

Keyword

easy,nonn,base

Author

Paolo P. Lava and Giorgio Balzarotti, Mar 29 2007

Status

approved