A027981 Sum{(k+1)*T(n,k)}, 0<=k<=2n, T given by A027960.

1, 10, 40, 124, 340, 868, 2116, 4996, 11524, 26116, 58372, 129028, 282628, 614404, 1327108, 2850820, 6094852, 12976132, 27525124, 58195972, 122683396, 257949700, 541065220, 1132462084, 2365587460, 4932501508, 10267656196

Offset

0,2

Links

Table of n, a(n) for n=0..26.

Index entries for linear recurrences with constant coefficients, signature (5,-8,4)

Formula

a(2n+1) = 6(4n+1) * 4^n + 4. - Ralf Stephan, Mar 22 2004

a(n) = 4+3*2^n*(2*n-1). G.f. ( -1-5*x+2*x^2 ) / ( (x-1)*(-1+2*x)^2 ). - R. J. Mathar, May 22 2013

a(0)=1, a(1)=10, a(2)=40, a(n)=5*a(n-1)-8*a(n-2)+4*a(n-3). - Harvey P. Dale, Apr 17 2015

E.g.f.: 3*(4*x - 1)*exp(2*x) + 4*exp(x). - Ilya Gutkovskiy, Apr 17 2016

Mathematica

LinearRecurrence[{5, -8, 4}, {1, 10, 40}, 30] (* Harvey P. Dale, Apr 17 2015 *)

Crossrefs

Sequence in context: A002419 A199826 A227056 * A013977 A075060 A279219

Adjacent sequences: A027978 A027979 A027980 * A027982 A027983 A027984

Keyword

nonn

Author

Clark Kimberling

Status

approved