A111695 a(n) = C(n,a)*C(n,b)*C(n,c)... where n = abc... are the decimal digits of n.

1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 121, 792, 3718, 14014, 45045, 128128, 330616, 787644, 1755182, 190, 4410, 53361, 448063, 2932776, 15939000, 74824750, 311698530, 1174863690, 4066092030, 4060, 139345, 2460160, 29767936, 277513984

Offset

1,10

Comments

a(10^n) = 10^n. a{(10^n-1)/9} = ({10^n-10/9}^n.

Links

Table of n, a(n) for n=1..34.

Example

a(12) = C(12,1)*C(12,2) = 12*66 = 792.
a(111) = 111^3.

Maple

a:=proc(n) local aa: aa:=convert(n, base, 10): mul(binomial(n, aa[j]), j=1..nops(aa)) end: seq(a(n), n=1..40); # Emeric Deutsch, Aug 27 2005

Crossrefs

Cf. A111696.

Sequence in context: A111482 A095870 A178928 * A027770 A330847 A202808

Adjacent sequences: A111692 A111693 A111694 * A111696 A111697 A111698

Keyword

base,easy,nonn

Author

Amarnath Murthy, Aug 17 2005

Extensions

More terms from Emeric Deutsch, Aug 27 2005

Status

approved