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Search: id:A111695
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| A111695 |
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a(n) = C(n,a)*C(n,b)*C(n,c)... where n = abc... are the decimal digits of n. |
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+0
2
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| 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
(list; graph; listen)
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OFFSET
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1,10
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COMMENT
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a(10^n) = 10^n. a{(10^n-1)/9} = ({10^n-10/9}^n.
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EXAMPLE
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a(12) = C(12,1)*C(12,2) = 12*66 = 792.
a(111) = 111^3.
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MAPLE
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a:=proc(n) local aa: aa:=convert(n, base, 10): product(binomial(n, aa[j]), j=1..nops(aa)) end: seq(a(n), n=1..40); (Deutsch)
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CROSSREFS
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Cf. A111696.
Sequence in context: A138496 A111482 A095870 this_sequence A027770 A091692 A098309
Adjacent sequences: A111692 A111693 A111694 this_sequence A111696 A111697 A111698
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 17 2005
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 27 2005
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