A160607 Numerator of Laguerre(n, -6).
1, 7, 31, 109, 331, 4529, 11453, 190433, 61391, 928943, 9677971, 214858067, 60236303, 10492980947, 137504412401, 180206776249, 2272545257401, 68446106098751, 119418042814439, 3899046884359, 33130663362484669
Offset: 0
Links
- G. C. Greubel, Table of n, a(n) for n = 0..500
Programs
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Magma
[Numerator((&+[Binomial(n,k)*(6^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 12 2018
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Mathematica
Numerator[Table[LaguerreL[n, -6], {n, 0, 50}]] (* G. C. Greubel, May 12 2018 *) -
PARI
for(n=0,30, print1(numerator(sum(k=0,n, binomial(n,k)*(6^k/k!))), ", ")) \\ G. C. Greubel, May 12 2018
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PARI
a(n) = numerator(pollaguerre(n, 0, -6)); \\ Michel Marcus, Feb 05 2021