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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 A341921 A231413 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 28 07:31 EDT 2023. Contains 362992 sequences. (Running on oeis4.)