A076572 - cp's OEIS frontend

A076572 a(0)=1 if n>0 a(n)=(-1)^(n+1)/(2n+1) * Sum_{k=0..n} 4^(4k)B(2k)C(2n+1,2k) where B(k) denotes the k-th Bernoulli number.

%I A076572 #7 Apr 08 2025 23:31:34
%S A076572 1,43,2099,388663,139467719,81165563683,69426732871739,
%T A076572 81922705364469103,127490352997174502159,252973121503691631872923,
%U A076572 623357309124524241322006979,1867492959566204749744784303143
%N A076572 a(0)=1 if n>0 a(n)=(-1)^(n+1)/(2n+1) * Sum_{k=0..n} 4^(4k)*B(2k)*C(2n+1,2k) where B(k) denotes the k-th Bernoulli number.
%Y A076572 Cf. A076552.
%K A076572 nonn
%O A076572 0,2
%A A076572 _Benoit Cloitre_, Oct 19 2002

cp's OEIS Frontend

A076572 a(0)=1 if n>0 a(n)=(-1)^(n+1)/(2n+1) * Sum_{k=0..n} 4^(4k)*B(2k)*C(2n+1,2k) where B(k) denotes the k-th Bernoulli number.

A076572 a(0)=1 if n>0 a(n)=(-1)^(n+1)/(2n+1) * Sum_{k=0..n} 4^(4k)B(2k)C(2n+1,2k) where B(k) denotes the k-th Bernoulli number.