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A174654 Partial sums of A030279. 0
1, 9, 59, 335, 1732, 8404, 38969, 174637, 762063, 3255119, 13662512, 56511312, 230859729, 933104857, 3736739227, 14843364031, 58540883044, 229411923796, 893904838857, 3465221557357, 13370453635199 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Partial sums of (COMPOSE squares with squares).

The subsequence of primes begins: 59, 174637, no more through a(21).

LINKS

Table of n, a(n) for n=1..21.

Index entries for linear recurrences with constant coefficients, signature (12,-54,115,-132,108,-59,24,-6,1).

FORMULA

a(n) = SUM[i=1..n] A030279(i) = SUM[i=1..n] {COMPOSE A000290 with A000290}.

G.f.: x*(x-1)^2*(x+1)*(x^3-4*x^2+2*x-1) / (x^3-2*x^2+4*x-1)^3. - Colin Barker, Apr 21 2013

EXAMPLE

a(8) = 1 + 8 + 50 + 276 + 1397 + 6672 + 30565 + 135668 = 174637 is prime.

CROSSREFS

Cf. A000290, A030279.

Sequence in context: A276648 A308353 A280103 * A027249 A026717 A231228

Adjacent sequences:  A174651 A174652 A174653 * A174655 A174656 A174657

KEYWORD

nonn,easy

AUTHOR

Jonathan Vos Post, Mar 25 2010

STATUS

approved

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Last modified September 19 12:57 EDT 2019. Contains 327198 sequences. (Running on oeis4.)