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A277385 Records in A277384. 2
15, 33, 65, 105, 153, 209, 273, 345, 425, 513, 609, 713, 825, 945, 1073, 1209, 1353, 1505, 1665, 1833, 2009, 2193, 2385, 2585, 2793, 3009, 3233, 3465, 3705, 3953, 4209, 4473, 4745, 5025, 5313, 5609, 5913, 6225, 6545, 6873, 7209, 7553, 7905, 8265, 8633, 9009 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Essentially the same as A145923. - R. J. Mathar, Oct 23 2016

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

G.f.: x*(15 -12*x +11*x^2 -6*x^3) / (1-x)^3.

E.g.f.: 7 + 6*x + (4*x^2 + 16*x - 7)*exp(x). - G. C. Greubel, Oct 12 2016

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>4.

a(n) = 4*n^2 + 12*n - 7 for n>1.

MATHEMATICA

Join[{15}, LinearRecurrence[{3, -3, 1}, {33, 65, 105}, 25]] (* or *) Join[{15}, Table[4*n^2 + 12*n - 7, {n, 2, 25}]] (* G. C. Greubel, Oct 12 2016 *)

PROG

(PARI) Vec(x*(15-12*x+11*x^2-6*x^3)/(1-x)^3 + O(x^60))

CROSSREFS

Cf. A277384.

Sequence in context: A231371 A228318 A228321 * A108517 A211327 A222179

Adjacent sequences:  A277382 A277383 A277384 * A277386 A277387 A277388

KEYWORD

nonn,easy

AUTHOR

Colin Barker, Oct 12 2016

STATUS

approved

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Last modified July 18 21:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)