A081690 -id:A081690 - cp's OEIS frontend

A081691 From P-positions in a certain game.

0, 2, 6, 11, 20, 38, 71, 136, 265, 523, 1036, 2061, 4110, 8207, 16400, 32785, 65554, 131092, 262165, 524310, 1048599, 2097176, 4194329, 8388634, 16777243, 33554460, 67108893, 134217758, 268435487, 536870944, 1073741857, 2147483682

Offset: 0

N. J. A. Sloane, Apr 02 2003

nonn

A. S. Fraenkel, New games related to old and new sequences, INTEGERS, Electronic J. of Combinatorial Number Theory, Vol. 4, Paper G6, 2004.

Apart from initial zero, complement of A081690.

See A081690 for formulas.

More terms from Vladeta Jovovic, Apr 04 2003

A081891 a(n) = 10^n - 9^n - 8^n - 7^n + 3*6^n.

Original entry on oeis.org

1, 4, 14, 64, 830, 14704, 228734, 3136144, 39450110, 468241264, 5338397054, 59140070224, 641540046590, 6850671429424, 72282030453374, 755587489260304, 7840735233590270, 80889167950995184, 830567232465613694, 8495462278285810384, 86620589245358801150, 880864903819470714544

Offset: 0

Paul Barry, Mar 30 2003

Binomial transform of A081690.

Index entries for linear recurrences with constant coefficients, signature (40,-635,5000,-19524,30240).

Cf. A081690.

G.f.: -(6684*x^4-2956*x^3+489*x^2-36*x+1)/((6*x-1)*(7*x-1)*(8*x-1)*(9*x-1)*(10*x-1)). [Colin Barker, Aug 12 2012]
From Elmo R. Oliveira, Sep 12 2024: (Start)
E.g.f.: exp(6*x)*(exp(4*x) - exp(3*x) - exp(2*x) - exp(x) + 3).
a(n) = 40*a(n-1) - 635*a(n-2) + 5000*a(n-3) - 19524*a(n-4) + 30240*a(n-5) for n > 4. (End)

a(19)-a(21) from Elmo R. Oliveira, Sep 12 2024

cp's OEIS Frontend

A081691 From P-positions in a certain game.

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