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A163416 a(n) = 20*a(n-1)-98*a(n-2) for n > 1; a(0) = 1, a(1) = 14. 1
1, 14, 182, 2268, 27524, 328216, 3866968, 45174192, 524520976, 6063348704, 69863918432, 803070195648, 9214739906624, 105593918958976, 1208833868330368, 13828473308627712, 158103747076178176 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A163415. Tenth binomial transform of A143095.

FORMULA

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

G.f.: (1-6*x)/(1-20*x+98*x^2).

PROG

(MAGMA) [ n le 2 select 13*n-12 else 20*Self(n-1)-98*Self(n-2): n in [1..17] ];

CROSSREFS

Cf. A163415, A143095.

Sequence in context: A132010 A126866 A133286 * A162783 A199942 A097828

Adjacent sequences:  A163413 A163414 A163415 * A163417 A163418 A163419

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 27 2009

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Last modified February 17 07:30 EST 2012. Contains 205998 sequences.