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A103735

Column k=8 sequence of array A103728.

41, 457, 12113, 41455, 305867, 3000929, 5664121, 29442493, 75028961, 115285297, 255381053, 738339317, 1884309221, 2516676241, 5657847163, 9307388231, 11805057217, 23150085349, 35212054847, 63554702993, 131233995553

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OFFSET

0,1

COMMENTS

The two a(n) formulas, given below, produce natural numbers for all n>=0.

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n)=A103728(n+5, 8)=(1 +(p(n+5)-1)*binomial(p(n+5)-1, 8))/p(n+5), with p(n):=A000040(n) (n-th prime).

a(n)= (149904 - 227708*p(n+5) + 185408* p(n+5)^2 - 89733*p(n+5)^3 + 26985*p(n+5)^4 - 5082*p(n+5)^5 + 582*p(n+5)^6 - 37*p(n+5)^7 + 1*p(n+5)^8)/8! = sum(A103718(k, m)*p(n+5)^m, m=0..8)/8!.

CROSSREFS

Sequence in context: A061643 A209842 A211154 * A177491 A269087 A166843

Adjacent sequences: A103732 A103733 A103734 * A103736 A103737 A103738

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Feb 24 2005

STATUS

approved

URL: https://oeis.org/A103735

⇱ A103735 - OEIS