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A027981 Sum{(k+1)*T(n,k)}, 0<=k<=2n, T given by A027960. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 26 12:33 EST 2020. Contains 332279 sequences. (Running on oeis4.)