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A186184 Expansion of 1/(1 - x*A002296(x)). 1
1, 1, 2, 10, 89, 1002, 12592, 168805, 2363241, 34138860, 505042286, 7612594936, 116492572621, 1804984878387, 28260999959595, 446441276449715, 7106718529937710, 113886198966545724 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

Vladimir Kruchinin, D. V. Kruchinin, Composita and their properties , arXiv:1103.2582

FORMULA

a(n) = Sum_{k=1..n} (k/(6*n-5*k))*binomial(7*n-6*k-1, n-k), n > 0.

MAPLE

A186184 := proc(n)

   if n = 0 then

      1;

   else

      add( k/(6*n-5*k)*binomial(7*n-6*k-1, n-k), k=1..n) ;

   end if;

end proc:

seq(A186184(n), n=0..20) ; # R. J. Mathar, Feb 26 2011

MATHEMATICA

Join[{1}, Table[Sum[k/(6n-5k) Binomial[7n-6k-1, n-k], {k, n}], {n, 30}]] (* Harvey P. Dale, Aug 29 2012 *)

CROSSREFS

Sequence in context: A060350 A270923 A096658 * A326554 A055779 A198434

Adjacent sequences:  A186181 A186182 A186183 * A186185 A186186 A186187

KEYWORD

nonn

AUTHOR

Vladimir Kruchinin, Feb 14 2011

STATUS

approved

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Last modified October 18 07:42 EDT 2019. Contains 328146 sequences. (Running on oeis4.)