A061532 Nearest integer to n^7/49.

0, 3, 45, 334, 1594, 5713, 16807, 42799, 97612, 204082, 397697, 731261, 1280582, 2151296, 3486926, 5478275, 8374259, 12494286, 18242280, 26122449, 36756909, 50905263, 69486234, 93601458, 124561543, 163914493, 213476596, 275365888

Offset

1,2

Links

Harry J. Smith, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,2,-7,21,-35,35,-21,7,-1).

Formula

G.f.: x^2*(3*x^10 + 24*x^9 + 82*x^8 + 96*x^7 + 99*x^6 + 112*x^5 + 99*x^4 + 96*x^3 + 82*x^2 + 24*x + 3)/((x-1)^8*(x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)). [Colin Barker, Sep 18 2012]

Prog

(PARI) a(n) = { round(n^7/49) } \\ Harry J. Smith, Jul 24 2009

Crossrefs

Sequence in context: A073595 A370954 A117972 * A309453 A360716 A060242

Adjacent sequences: A061529 A061530 A061531 * A061533 A061534 A061535

Keyword

nonn,easy

Author

N. J. A. Sloane, May 15 2001

Status

approved