A011914 a(n) = floor(n*(n - 1)*(n - 2)/32).

0, 0, 0, 0, 0, 1, 3, 6, 10, 15, 22, 30, 41, 53, 68, 85, 105, 127, 153, 181, 213, 249, 288, 332, 379, 431, 487, 548, 614, 685, 761, 842, 930, 1023, 1122, 1227, 1338, 1456, 1581, 1713, 1852, 1998, 2152, 2313, 2483, 2660, 2846, 3040, 3243, 3454, 3675, 3904

Offset

0,7

Links

Table of n, a(n) for n=0..51.

Index entries for linear recurrences with constant coefficients, signature (3, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, 3, -1).

Formula

G.f.: (x^5*(1 - x + x^2)*(1 + x - x^3 - x^4 + x^5 + x^6 + 2*x^7 - x^8 -

x^9 - x^10 + x^11 + x^12 + 2*x^13 - x^14 - x^15 + 2*x^18 - x^21 +

x^23 + x^24 - x^26 + x^27))/((-1 + x)^4*(1 + x)*(1 + x^2)*(1 + x^4)*(1 + x^8)*(1 + x^16)). - Peter J. C. Moses, Jun 02 2014

Maple

A011914:=n->floor(n*(n-1)*(n-2)/32); seq(A011914(n), n=0..50); # Wesley Ivan Hurt, Jun 02 2014

Mathematica

Table[Floor[n (n - 1) (n - 2)/32], {n, 0, 50}] (* Wesley Ivan Hurt, Jun 02 2014 *)

Prog

(Magma) [Floor(n*(n-1)*(n-2)/32): n in [0..50]]; // Wesley Ivan Hurt, Jun 02 2014
(PARI) a(n) = n*(n-1)*(n-2)\32 \\ Jianing Song, Oct 15 2018

Crossrefs

Sequence in context: A022952 A024918 A117245 * A173645 A122047 A177100

Adjacent sequences: A011911 A011912 A011913 * A011915 A011916 A011917

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 1996

Status

approved