A103733 Column k=6 sequence of array A103728.

1, 191, 853, 7537, 17587, 71369, 363749, 574621, 1895149, 3744761, 5123791, 9167525, 19974397, 39789335, 49243141, 89502667, 129269281, 154098649, 253600309, 345942995, 535842121, 917491105, 1180249901, 1333475377

Offset

0,2

Comments

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

Links

Table of n, a(n) for n=0..23.

Formula

a(n) = A103728(n+4, 6) = (1 +(p(n+4)-1)*binomial(p(n+4)-1, 6))/p(n+4), with p(n) := A000040(n) (n-th prime).

a(n) = (2484 - 3388*p(n+4) + 2359*p(n+4)^2 - 910*p(n+4)^3 + 196*p(n+4)^4 - 22*p(n+4)^5 + p(n+4)^6)/6! = (Sum_{m=0..6} A103718(k, m)*p(n+4)^m)/6!.

Crossrefs

Cf. A000040, A103718, A103728.

Sequence in context: A082445 A108848 A052165 * A217500 A142451 A083980

Adjacent sequences: A103730 A103731 A103732 * A103734 A103735 A103736

Keyword

nonn,easy

Author

Wolfdieter Lang, Feb 24 2005

Status

approved