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A093146 Third binomial transform of Pell(3n-1). 1
1, 5, 50, 750, 12500, 212500, 3625000, 61875000, 1056250000, 18031250000, 307812500000, 5254687500000, 89703125000000, 1531328125000000, 26141406250000000, 446261718750000000, 7618164062500000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

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

FORMULA

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).

CROSSREFS

Cf. A000129, A093144, A093147.

Sequence in context: A185272 A141316 A217794 * A049393 A047054 A052562

Adjacent sequences:  A093143 A093144 A093145 * A093147 A093148 A093149

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 26 2004

STATUS

approved

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Last modified June 23 18:45 EDT 2021. Contains 345402 sequences. (Running on oeis4.)