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A171472 a(n) = 6*a(n-1)-8*a(n-2) for n > 1; a(0) = 7, a(1) = 30. 13
7, 30, 124, 504, 2032, 8160, 32704, 130944, 524032, 2096640, 8387584, 33552384, 134213632, 536862720, 2147467264, 8589901824, 34359672832, 137438822400, 549755551744, 2199022731264, 8796091973632, 35184369991680 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Related to Reverse and Add trajectory of 22 in base 2: A061561(4*n+2) = 12*a(n).

Third binomial transform of A010729.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Index to sequences with linear recurrences with constant coefficients, signature (6,-8)

FORMULA

a(n) = 8*4^n-2^n.

G.f.: (7-12*x)/((1-2*x)*(1-4*x)).

PROG

(PARI) {m=22; v=concat([7, 30], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-8*v[n-2]); v}

(MAGMA) [8*4^n-2^n: n in [0..30]]; // Vincenzo Librandi, May 31 2011

CROSSREFS

Cf. A061561, A010729 (repeat 7, 9), A171470, A171471, A171473.

Sequence in context: A026631 A037709 A037611 * A220720 A024311 A210100

Adjacent sequences:  A171469 A171470 A171471 * A171473 A171474 A171475

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Dec 09 2009

STATUS

approved

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Last modified December 22 14:55 EST 2014. Contains 252364 sequences.