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A144109 INVERT transform of the cubes A000578. 4
1, 9, 44, 207, 991, 4752, 22769, 109089, 522676, 2504295, 11998799, 57489696, 275449681, 1319758713, 6323343884, 30296960703, 145161459631, 695510337456, 3332390227649, 15966440800785, 76499813776276, 366532628080599 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Analog of A033453 (INVERT squares) and A001906 (INVERT first powers).

For n>1, a(n-1) is the number of generalized compositions of n when there are i^3 different types of i, (i=1,2,...). [Milan Janjic, Sep 24 2010]

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5, -2, 5, -1).

FORMULA

G.f.: (1+4*x+x^2)/((1+x^2)*(1-5*x+x^2)).

a(n) = (9*A004254(n+1)-4*A056594(n))/5.

MATHEMATICA

CoefficientList[Series[(1 + 4*x + x^2)/((1 + x^2)*(1 -5 *x + x^2)), {x, 0, 40}], x] (* Vincenzo Librandi, Dec 14 2012 *)

CROSSREFS

Cf. A004254, A056594.

Sequence in context: A074631 A084903 A034558 * A099867 A228603 A297491

Adjacent sequences:  A144106 A144107 A144108 * A144110 A144111 A144112

KEYWORD

nonn,easy

AUTHOR

R. J. Mathar, Sep 11 2008

STATUS

approved

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Last modified September 28 07:55 EDT 2020. Contains 337394 sequences. (Running on oeis4.)