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A141013
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E.g.f. sum_{d|M} (exp(d*x)-1)/d, M=14.
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1
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0, 4, 24, 250, 3096, 40834, 554664, 7647250, 106237176, 1481554114, 20701400904, 289537131250, 4051542498456, 56707753666594, 793811662272744, 11112685048647250, 155572843119354936
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OFFSET
| 0,2
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FORMULA
| a(n) = sum_{d|14} d^(n-1) = 1+2^(n-1)+7^(n-1)+14^(n-1). a(n)= 24*a(n-1) -163*a(n-2) +336*a(n-3) -196*a(n-4), n>4. G..f: -2*x*(-2+36*x-163*x^2+168*x^3)/((x-1) * (14*x-1) * (2*x-1) *(7*x-1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 05 2010]
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MAPLE
| A141013 := proc(n) local d; add(d^(n-1), d=numtheory[divisors](14)) ; end proc: seq(A141013(n), n=1..20) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 05 2010]
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CROSSREFS
| Sequence in context: A061640 A126391 A006088 * A176785 A095340 A141014
Adjacent sequences: A141010 A141011 A141012 * A141014 A141015 A141016
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KEYWORD
| nonn
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AUTHOR
| Richard Mathar (mathar(AT)strw.leidenuniv.nl), Jul 11 2008
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