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 A093380 Expansion of (1+4x+x^2-10x^3)/((1-x)(1-x-2x^2)). 2
 1, 6, 14, 22, 46, 86, 174, 342, 686, 1366, 2734, 5462, 10926, 21846, 43694, 87382, 174766, 349526, 699054, 1398102, 2796206, 5592406, 11184814, 22369622, 44739246, 89478486, 178956974, 357913942, 715827886, 1431655766, 2863311534 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Second binomial transform is A093381. LINKS Table of n, a(n) for n=0..30. Index entries for linear recurrences with constant coefficients, signature (2,1,-2) FORMULA a(n)=2-5*0^n+4(2*2^n/3+(-1)^n/3); a(n)=2-5*0^n+4*A001045(n+1). MATHEMATICA Block[{\$RecursionLimit=1000}, CoefficientList[Series[(1+4x+x^2-10x^3)/((1-x)(1-x-2x^2)), {x, 0, 40}], x]] (* or *) LinearRecurrence[{2, 1, -2}, {1, 6, 14, 22}, 40] (* Harvey P. Dale, Dec 18 2022 *) CROSSREFS Sequence in context: A211998 A190522 A079797 * A123228 A015832 A190753 Adjacent sequences: A093377 A093378 A093379 * A093381 A093382 A093383 KEYWORD easy,nonn AUTHOR Paul Barry, Apr 28 2004 STATUS approved

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Last modified June 2 17:31 EDT 2023. Contains 363100 sequences. (Running on oeis4.)