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A026044 a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0). 0
22, 33, 49, 70, 97, 132, 176, 229, 292, 367, 455, 556, 671, 802, 950, 1115, 1298, 1501, 1725, 1970, 2237, 2528, 2844, 3185, 3552, 3947, 4371, 4824, 5307, 5822, 6370, 6951, 7566, 8217, 8905, 9630, 10393, 11196, 12040, 12925, 13852, 14823, 15839, 16900, 18007, 19162, 20366, 21619, 22922, 24277 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,1

LINKS

Table of n, a(n) for n=5..54.

Index entries for linear recurrences with constant coefficients, signature (4,-7,8,-7,4,-1).

FORMULA

a(n)=(n + 5)*(2*n^2 + 11*n + 54)/12 - 1/4 - (1/4)*cos(Pi*n/2) - (1/4)*sin(Pi*n/2) [From Richard Choulet, Dec 13 2008]

G.f. x^5*( 22-55*x+71*x^2-71*x^3+50*x^4-15*x^5 ) / ( (x^2+1)*(x-1)^4 ). - R. J. Mathar, Jun 22 2013

MATHEMATICA

LinearRecurrence[{4, -7, 8, -7, 4, -1}, {22, 33, 49, 70, 97, 132}, 60] (* Harvey P. Dale, Apr 27 2019 *)

CROSSREFS

Sequence in context: A067035 A074054 A067287 * A120146 A138840 A257473

Adjacent sequences:  A026041 A026042 A026043 * A026045 A026046 A026047

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified July 12 15:09 EDT 2020. Contains 335665 sequences. (Running on oeis4.)