A191596 Expansion of (1+x)^4/(1-x)^7.
1, 11, 62, 242, 743, 1925, 4396, 9108, 17469, 31471, 53834, 88166, 139139, 212681, 316184, 458728, 651321, 907155, 1241878, 1673882, 2224607, 2918861, 3785156, 4856060, 6168565, 7764471, 9690786, 12000142, 14751227, 18009233, 21846320
Offset: 0
Links
- Bruno Berselli, Table of n, a(n) for n = 0..1000
- M. Janjic and B. Petkovic, A Counting Function, arXiv 1301.4550, 2013
- M. Janjic, B. Petkovic, A Counting Function Generalizing Binomial Coefficients and Some Other Classes of Integers, J. Int. Seq. 17 (2014) # 14.3.5
- Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
Programs
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Magma
[(2*n^6+18*n^5+80*n^4+210*n^3+323*n^2+267*n+90)/90: n in [0..30]]; // Vincenzo Librandi, Jun 08 2011
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Maple
A191596:=n->(n+1)*(n+2)*(2*n^4+12*n^3+40*n^2+66*n+45)/90: seq(A191596(n), n=0..40); # Wesley Ivan Hurt, Nov 20 2014
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Mathematica
CoefficientList[Series[(1 + x)^4/(1 - x)^7, {x, 0, 30}], x] (* Wesley Ivan Hurt, Nov 20 2014 *) -
Maxima
makelist(coeff(taylor((1+x)^4/(1-x)^7, x, 0, n), x, n), n, 0, 30);
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PARI
a(n)=(((((n+n+18)*n+80)*n+210)*n+323)*n+267)/90*n+1 \\ Charles R Greathouse IV, Jun 08 2011
Comments