A160854 Expansion of (1+147*x+1098*x^2+1638*x^3+632*x^4+59*x^5+x^6)/(1-x)^7.
1, 154, 2155, 13524, 55400, 173911, 455120, 1043547, 2164267, 4148584, 7463281, 12743446, 20828874, 32804045, 50041678, 74249861, 107522757, 152394886, 211898983, 289627432, 389797276, 517318803, 677867708, 877960831, 1125035471
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
Programs
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Magma
[149*n^6/30 +81*n^5/4 +337*n^4/8 +142*n^3/3 +3529*n^2/120 +107 *n/12 +1: n in [0..30]]; // Vincenzo Librandi, Sep 20 2011
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Maple
seq(coeff(series((1+147*x+1098*x^2+1638*x^3+632*x^4+59*x^5+x^6)/(1-x)^7, x,n+1),x,n),n=0..25); # Muniru A Asiru, Apr 29 2018
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Mathematica
LinearRecurrence[{7,-21,35,-35,21,-7,1}, {1, 154, 2155, 13524, 55400, 173911, 455120}, 30] (* G. C. Greubel, Apr 28 2018 *) -
PARI
x='x+O('x^30); Vec((1+147*x+1098*x^2+1638*x^3+632*x^4+59*x^5 + x^6)/(1-x)^7) \\ G. C. Greubel, Apr 28 2018
Formula
a(n) = 149*n^6/30 +81*n^5/4 +337*n^4/8 +142*n^3/3 +3529*n^2/120 +107*n/12 +1. - R. J. Mathar, Sep 17 2011
Comments