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A103734 Negative of column k=7 sequence of array A103728. 0

%I

%S 109,731,10767,30149,163129,1143211,1970129,8122067,18188839,26350925,

%T 52385857,131260323,295577917,379875659,767165717,1181890569,

%U 1452930119,2608460321,3755952517,6277007703,11796314207,15849070099,18287662313

%N Negative of column k=7 sequence of array A103728.

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

%F a(n)=-A103728(n+5, 7)=-(1 -(p(n+5)-1)*binomial(p(n+5)-1, 7))/p(n+5), with p(n):=A000040(n) (n-th prime).

%F a(n)= -(18108 - 26200*p(n+5) + 19901*p(n+5)^2 - 8729*p(n+5)^3 + 2282*p(n+5)^4 - 350*p(n+5)^5 + 29*p(n+5)^6 - p(n+5)^7)/7! = -sum(A103718(k, m)*p(n+5)^m, m=0..7)/7!.

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Feb 24 2005

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Last modified May 26 13:59 EDT 2022. Contains 354092 sequences. (Running on oeis4.)