A087099 Partial sums of A063914.

1, 3, 6, 11, 16, 24, 31, 42, 51, 65, 76, 93, 106, 126, 141, 164, 181, 207, 226, 255, 276, 308, 331, 366, 391, 429, 456, 497, 526, 570, 601, 648, 681, 731, 766, 819, 856, 912, 951, 1010, 1051, 1113, 1156, 1221, 1266, 1334, 1381, 1452, 1501, 1575, 1626

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (0,2,0,-1).

Formula

From Chai Wah Wu, Feb 02 2021: (Start)

a(n) = 2*a(n-2) - a(n-4) for n > 4.

G.f.: x*(x^3 + x^2 + 2*x + 1)/((x - 1)^2*(x + 1)^2). (End)

Mathematica

With[{nn=50}, Accumulate[Riffle[Range[1, 2*nn, 2], 3*Range[0, nn]+2]]] (* Harvey P. Dale, Jul 25 2013 *)

Crossrefs

Cf. A086848, A087098, A001068.

Sequence in context: A267260 A116940 A278100 * A181947 A366969 A075703

Adjacent sequences: A087096 A087097 A087098 * A087100 A087101 A087102

Keyword

easy,nonn

Author

Jeremy Gardiner, Aug 10 2003

Status

approved