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A171480 a(n) = 6*a(n-1) - 8*a(n-2) + 4 for n > 1; a(0) = 1, a(1) = 9. 1
1, 9, 50, 232, 996, 4124, 16780, 67692, 271916, 1089964, 4364460, 17467052, 69886636, 279583404, 1118407340, 4473776812, 17895402156, 71582198444, 286329973420, 1145322252972, 4581293730476, 18325184359084, 73300756310700 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Inverse binomial transform of A016273.

LINKS

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

FORMULA

a(n) = (25*4^n - 27*2^n + 8)/6.

G.f.: (1+x)^2/((1-x)*(1-2*x)*(1-4*x)).

PROG

(PARI) {m=23; v=concat([1, 9], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-8*v[n-2]+4); v}

(MAGMA) [(25*4^n-27*2^n+8)/6: n in [0..30]]; // Vincenzo Librandi, Jul 18 2011

CROSSREFS

Cf. A016273 (expansion of 1/((1-2*x)*(1-3*x)*(1-5*x))), A171472, A171473.

Sequence in context: A006974 A279979 A222993 * A257589 A231413 A007681

Adjacent sequences:  A171477 A171478 A171479 * A171481 A171482 A171483

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Dec 09 2009

STATUS

approved

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Last modified May 26 02:35 EDT 2019. Contains 323579 sequences. (Running on oeis4.)