A111633 - OEIS

A111633

Let n = abc...xyz denote the decimal digits of n. Then a(n) = C(a,z)+C(b,y)+C(c,x)+...+C(x,c)+C(y,b)+C(z,a).

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 2, 3, 6, 10, 15, 21, 28, 36, 1, 3, 3, 2, 4, 10, 20, 35, 56, 84, 1, 4, 6, 4, 2, 5, 15, 35, 70, 126, 1, 5, 10, 10, 5, 2, 6, 21, 56, 126, 1, 6, 15, 20, 15, 6, 2, 7, 28, 84, 1, 7, 21, 35, 35, 21, 7, 2, 8, 36, 1, 8, 28, 56, 70, 56, 28, 8, 2

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OFFSET

0,11

LINKS

Table of n, a(n) for n=0..87.

MATHEMATICA

f[n_] := Plus @@ Binomial[ IntegerDigits[n], Reverse[ IntegerDigits[ n]]]; Table[ f[n], {n, 88}]

CROSSREFS

Cf. A111696, A111634.

Sequence in context: A157282 A114010 A289188 * A273662 A034138 A254667

Adjacent sequences: A111630 A111631 A111632 * A111634 A111635 A111636

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy and Robert G. Wilson v, Aug 19 2005

STATUS

approved