A034267 - OEIS

%I #17 Feb 10 2025 13:12:24

%S 0,1,7,39,196,930,4257,19019,83512,361998,1553630,6615686,27992472,

%T 117823940,493768485,2061580275,8580127920,35611376790,147447066690,

%U 609200868210,2512267906200,10342848445020,42516521451690,174535009040574,715599131576976

%N a(n) = f(n,n) where f is given in A034261.

%F Conjecture D-finite with recurrence -(n+2)*(11*n-7)*a(n) +2*(23*n^2+44*n+30)*a(n-1) -4*(n+5)*(2*n-3)*a(n-2)=0. - _R. J. Mathar_, Feb 10 2025

%p A034261 := proc(n, k) binomial(n+k, k+1)*(n*k+n+1)/(k+2); end;

%p seq( A034261(n,n),n=0..40) ; # _R. J. Mathar_, Feb 10 2025

%Y Cf. A034261.

%K nonn,changed

%O 0,3

%A _Clark Kimberling_

%E Corrected and extended by _N. J. A. Sloane_, Apr 21 2000