A163989 First differences of A160379.

1, 26, 8, 200, 26, 620, 56, 1304, 98, 2252, 152, 3464, 218, 4940, 296, 6680, 386, 8684, 488, 10952, 602, 13484, 728, 16280, 866, 19340, 1016, 22664, 1178, 26252, 1352, 30104, 1538, 34220, 1736, 38600, 1946, 43244, 2168, 48152, 2402, 53324, 2648, 58760, 2906

Offset

1,2

Links

Table of n, a(n) for n=1..45.

Index entries for sequences related to cellular automata

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

Formula

a(2n+1) = 6n^2 + 2 for n>=1

a(2n) = 132n^2 - 240n + 152 for n>=2

a(n) = 3*a(n-2)-3*a(n-4)+a(n-6) for n>8. G.f.: -x*(18*x^3+x^2+26*x+1)*(x^4+4*x^2+1) / ((x-1)^3*(x+1)^3). - Colin Barker, Sep 17 2013

Prog

(PARI) Vec(-x*(18*x^3+x^2+26*x+1)*(x^4+4*x^2+1)/((x-1)^3*(x+1)^3)  + O(x^100)) \\ Colin Barker, Sep 17 2013

Crossrefs

Cf. A160117, A160119, A160379, A160428, A161340, A163987.

Sequence in context: A070661 A040655 A163987 * A034077 A040654 A034057

Adjacent sequences: A163986 A163987 A163988 * A163990 A163991 A163992

Keyword

nonn,easy

Author

Omar E. Pol, Sep 20 2009

Extensions

Formula and more terms from Nathaniel Johnston, Nov 15 2010

More terms from Colin Barker, Sep 17 2013

Status

approved