A056833 Nearest integer to n^2/7.

0, 0, 1, 1, 2, 4, 5, 7, 9, 12, 14, 17, 21, 24, 28, 32, 37, 41, 46, 52, 57, 63, 69, 76, 82, 89, 97, 104, 112, 120, 129, 137, 146, 156, 165, 175, 185, 196, 206, 217, 229, 240, 252, 264, 277, 289, 302, 316, 329, 343, 357, 372, 386, 401, 417, 432, 448

Offset

0,5

Links

Table of n, a(n) for n=0..56.

Index entries for linear recurrences with constant coefficients, signature (2, -1, 0, 0, 0, 0, 1, -2, 1).

Formula

G.f.: -x^2*(x+1)*(x^2-x+1)^2/((x-1)^3*(x^6+x^5+x^4+x^3+x^2+x+1)). [Colin Barker, Oct 08 2012]

Mathematica

Round[Range[0, 60]^2/7] (* or *) LinearRecurrence[{2, -1, 0, 0, 0, 0, 1, -2, 1}, {0, 0, 1, 1, 2, 4, 5, 7, 9}, 60] (* Harvey P. Dale, Jul 31 2019 *)

Prog

(Magma) a056833:=func< n | Round(n^2/7) >; [ a056833(n): n in [0..70] ];

Crossrefs

Sequence in context: A219648 A062428 A250000 * A275534 A069355 A212661

Adjacent sequences: A056830 A056831 A056832 * A056834 A056835 A056836

Keyword

nonn,easy

Author

N. J. A. Sloane, Sep 02 2000

Status

approved