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A103732
Negative of column k=5 sequence of array A103728.
0
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.
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
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Feb 24 2005
STATUS
approved