A076573 - cp's OEIS frontend

A076573 a(0)=1 if n>0 a(n)=(-1)^(n+1)/(2n+1) * Sum_{k=0..n} 4^(5k)B(2k)C(2n+1,2k) where B(k) denotes the k-th Bernoulli number.

%I A076573 #7 Apr 08 2025 23:32:56
%S A076573 1,171,34611,25391031,36412266951,84746764368291,289947183663000891,
%T A076573 1368522076163485223151,8518903397471846192668431,
%U A076573 67614595884596632809835843611,666443065911076418265517497701571
%N A076573 a(0)=1 if n>0 a(n)=(-1)^(n+1)/(2n+1) * Sum_{k=0..n} 4^(5k)*B(2k)*C(2n+1,2k) where B(k) denotes the k-th Bernoulli number.
%Y A076573 Cf. A076552, A076572.
%K A076573 nonn
%O A076573 0,2
%A A076573 _Benoit Cloitre_, Oct 19 2002

cp's OEIS Frontend

A076573 a(0)=1 if n>0 a(n)=(-1)^(n+1)/(2n+1) * Sum_{k=0..n} 4^(5k)*B(2k)*C(2n+1,2k) where B(k) denotes the k-th Bernoulli number.

A076573 a(0)=1 if n>0 a(n)=(-1)^(n+1)/(2n+1) * Sum_{k=0..n} 4^(5k)B(2k)C(2n+1,2k) where B(k) denotes the k-th Bernoulli number.