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 A051257 Numbers formed from binomial coefficients (mod 2+k) interpreted as digits in factorial base. 1
 1, 3, 11, 43, 231, 1337, 9739, 76209, 706109, 6914977, 78150249, 920172983, 12216376453, 168531536319, 2571960399839, 40581616143967, 701349512411763, 12460393480873445, 240094506439569631, 4749510978132662277 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 FORMULA a(n) = Sum (k+1)!(C(n, k) mod (2+k)), k=0..n EXAMPLE a(5) = (1 mod 2)1!+(5 mod 3)2!+(10 mod 4)3!+(10 mod 5)4!+(5 mod 6)5!+(1 mod 7)6! = 1*1+2*2+2*6+0*24+5*120+1*720 = 1337 MAPLE a(n) := proc(n) local i; RETURN(add(((binomial(n, i)mod(i+2))*((i+1)!)), i=0..n)); end; MATHEMATICA a[n_] := Sum[(k+1)!*Mod[Binomial[n, k], 2+k], {k, 0, n}]; Table[a[n], {n, 0, 19}] (* Jean-François Alcover, Sep 09 2013 *) CROSSREFS Cf. A001317, A001339, A048757, A047999, A051256. Sequence in context: A126282 A039627 A231497 * A135482 A126614 A000979 Adjacent sequences:  A051254 A051255 A051256 * A051258 A051259 A051260 KEYWORD nonn,nice,base AUTHOR Antti Karttunen, Oct 24 1999 STATUS approved

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