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A228609 Partial sums of the cubes of the tribonacci sequence A000073. 0
0, 1, 2, 10, 74, 417, 2614, 16438, 101622, 633063, 3941012, 24511836, 152535900, 949133883, 5905611508, 36746590964, 228646935796, 1422699232325, 8852413871022, 55082039340022, 342734883853750, 2132586518002125 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Partial sums of the auxiliary sequence 0, 1, 1, 8, 64, 343, 2197, 13824, 85184,...

For a "closed" form of the partial sums of the cubes see a (yet to be published) issue of the Fib. Quart.

LINKS

Table of n, a(n) for n=0..21.

H. Ohtsuka, Advanced Problems and Solutions, Fib. Quart. 51 (2) (2013) 186, H-736.

Index entries for linear recurrences with constant coefficients, signature (5,5,25,-58,26,-42,54,-13,1,-3,1).

FORMULA

a(n) = a(n-1) + (A000073(n))^3.

G.f.: x*(-1+3*x+11*x^3-5*x^4+x^5-3*x^6+x^7+5*x^2) / ( (x^3-5*x^2+7*x-1) *(x^6+4*x^5+11*x^4+12*x^3+11*x^2+4*x+1) *(x-1)^2 )

CROSSREFS

Cf. A107239.

Sequence in context: A275550 A243250 A088189 * A001395 A047853 A151387

Adjacent sequences:  A228606 A228607 A228608 * A228610 A228611 A228612

KEYWORD

easy,nonn

AUTHOR

R. J. Mathar, Dec 18 2013

STATUS

approved

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Last modified February 18 00:19 EST 2019. Contains 320237 sequences. (Running on oeis4.)