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A052276 Nonnegative numbers of form n^3 (+/-) 3, n >= 0. 2
3, 4, 5, 11, 24, 30, 61, 67, 122, 128, 213, 219, 340, 346, 509, 515, 726, 732, 997, 1003, 1328, 1334, 1725, 1731, 2194, 2200, 2741, 2747, 3372, 3378, 4093, 4099, 4910, 4916, 5829, 5835, 6856, 6862, 7997, 8003, 9258, 9264, 10645, 10651 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

It is conjectured that A003325 and A052276 (the current sequence) have infinitely many numbers in common, although only one example (128) is known.

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

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

FORMULA

a(n) = a(n-1)+3*a(n-2)-3*a(n-3)-3*a(n-4)+3*a(n-5)+a(n-6)-a(n-7) for n>8. - Colin Barker, Jul 09 2015

G.f.: x*(5*x^7-8*x^6-9*x^5+19*x^4+3*x^3-8*x^2+x+3) / ((x-1)^4*(x+1)^3). - Colin Barker, Jul 09 2015

a(n) = ((2*n+1)*(n^2+n+1) - (-1)^n*(3*n^2+3*n-47))/16 for n >= 2. - Robert Israel, Jul 09 2015

MAPLE

3, 4, op(map(n -> (n^3-3, n^3+3), [$2..100])); # Robert Israel, Jul 09 2015

PROG

(PARI) Vec(x*(5*x^7-8*x^6-9*x^5+19*x^4+3*x^3-8*x^2+x+3)/((x-1)^4*(x+1)^3) + O(x^100)) \\ Colin Barker, Jul 09 2015

CROSSREFS

Sequence in context: A276542 A318077 A074221 * A173096 A302752 A046964

Adjacent sequences:  A052273 A052274 A052275 * A052277 A052278 A052279

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Feb 05 2000

STATUS

approved

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Last modified April 21 22:12 EDT 2019. Contains 322328 sequences. (Running on oeis4.)