%I #20 Feb 10 2022 09:02:57
%S 1,0,1,2,1,3,7,4,11,25,16,41,92,63,155,344,247,591,1300,967,2267,4950,
%T 3785,8735,18955,14820,33775,72905,58060,130965,281403,227612,509015,
%U 1089343,892926,1982269,4227273,3505386,7732659,16438345,13770404,30208749,64037453
%N Sum along upward diagonal of Pascal triangle from center.
%H Seiichi Manyama, <a href="/A010757/b010757.txt">Table of n, a(n) for n = 0..1000</a>
%F a(n) = A010756(n) + A000984(n/3) if 3|n, otherwise a(n) = A010756(n). - _R. J. Mathar_, Feb 08 2016
%p seq(add(binomial(i-k,k),k=ceil(i/3)..floor(i/2)),i=0..50); # Detlef Pauly (dettodet(AT)yahoo.de), Jul 24 2003
%o (PARI) a(n) = sum(k=(n+2)\3, n\2, binomial(n-k, k)); \\ _Seiichi Manyama_, Feb 10 2022
%Y Cf. A000045, A000984, A007318, A010752, A010753, A010756.
%K nonn
%O 0,4
%A _R. K. Guy_