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A308600 Number of (not necessarily maximum) cliques in the n X n antelope graph. 1
2, 5, 10, 17, 34, 61, 98, 145, 202, 269, 346, 433, 530, 637, 754, 881, 1018, 1165, 1322, 1489, 1666, 1853, 2050, 2257, 2474, 2701, 2938, 3185, 3442, 3709, 3986, 4273, 4570, 4877, 5194, 5521, 5858, 6205, 6562, 6929, 7306, 7693, 8090, 8497, 8914, 9341, 9778, 10225, 10682, 11149 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Antelope Graph

Eric Weisstein's World of Mathematics, Clique

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

FORMULA

a(n) = 5*n^2-28*n+49 for n >= 3.

From Colin Barker, Jun 10 2019: (Start)

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

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>5.

(End)

MATHEMATICA

Table[Piecewise[{{2, n == 1}, {5, n == 2}}, 49 - 28 n + 5 n^2], {n, 20}]

PROG

(PARI) Vec(x*(2 - x + x^2 + 8*x^4) / (1 - x)^3 + O(x^50)) \\ Colin Barker, Jun 10 2019

CROSSREFS

Sequence in context: A227363 A342172 A262406 * A308604 A018315 A146220

Adjacent sequences:  A308597 A308598 A308599 * A308601 A308602 A308603

KEYWORD

nonn,easy

AUTHOR

Eric W. Weisstein, Jun 09 2019

STATUS

approved

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Last modified July 30 12:39 EDT 2021. Contains 346359 sequences. (Running on oeis4.)