A103732 Negative of column k=5 sequence of array A103728.

5, 229, 731, 4111, 8117, 25189, 94891, 137909, 366803, 641959, 830885, 1341589, 2549923, 4504453, 5371979, 8803541, 11932549, 13799879, 20843861, 26956597, 38735575, 60493919, 74542099, 82483013, 100393765, 110446523, 132966511

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..26.

Formula

a(n) = -A103728(n+4, 5)=-(1 -(p(n+4)-1)*binomial(p(n+4)-1, 5))/p(n+4), with p(n):=A000040(n) (n-th prime).

a(n) = -(394 - 499*p(n+4) + 310*p(n+4)^2 - 100*p(n+4)^3 + 16*p(n+4)^4 - p(n+4)^5)/5! = -(Sum_{m=0..5} A103718(k, m)*p(n+4)^m)/5!.

Crossrefs

Cf. A000040, A103718, A103728.

Sequence in context: A300390 A002142 A355878 * A355877 A065757 A157776

Adjacent sequences: A103729 A103730 A103731 * A103733 A103734 A103735

Keyword

nonn,easy

Author

Wolfdieter Lang, Feb 24 2005

Status

approved