A093144 -id:A093144 - cp's OEIS frontend

A093146 Third binomial transform of Pell(3n-1).

1, 5, 50, 750, 12500, 212500, 3625000, 61875000, 1056250000, 18031250000, 307812500000, 5254687500000, 89703125000000, 1531328125000000, 26141406250000000, 446261718750000000, 7618164062500000000

Offset: 0

Paul Barry, Mar 26 2004

Index entries for linear recurrences with constant coefficients, signature (20,-50).

Cf. A000129, A093144, A093147.

G.f.: (1-15*x)/(1 - 20*x + 50*x^2);

a(n) = (10 + 5*sqrt(2))^n*(1/2 - sqrt(2)/4) + (10 - 5*sqrt(2))^n*(1/2 + sqrt(2)/4).

A093147 Third binomial transform of Pell(3n+1).

Original entry on oeis.org

1, 15, 250, 4250, 72500, 1237500, 21125000, 360625000, 6156250000, 105093750000, 1794062500000, 30626562500000, 522828125000000, 8925234375000000, 152363281250000000, 2601003906250000000, 44401914062500000000

Offset: 0

Paul Barry, Mar 26 2004

Index entries for linear recurrences with constant coefficients, signature (20,-50).

Cf. A000129, A093144, A093146.

G.f.: (1-5*x)/(1 - 20*x + 50*x^2);

a(n) = ((1 + sqrt(2))*(10 + 5*sqrt(2))^n - (1 - sqrt(2))*(10-5*sqrt(2))^n)/(2*sqrt(2)).

cp's OEIS Frontend

A093146 Third binomial transform of Pell(3n-1).

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