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 A189675 Composition of Catalan and Fibonacci numbers. 1
 1, -1, 2, 2, -4, 3, -5, 10, -9, 5, 14, -28, 27, -20, 8, -42, 84, -84, 70, -40, 13, 132, -264, 270, -240, 160, -78, 21, -429, 858, -891, 825, -600, 351, -147, 34, 1430, -2860, 3003, -2860, 2200, -1430, 735, -272, 55, -4862, 9724, -10296, 10010, -8008, 5577, -3234, 1496, -495, 89, 16796, -33592, 35802, -35360, 29120, -21294, 13377, -7072, 2970, -890, 144, -58786, 117572, -125970, 125970, -106080, 80444, -53508, 30940, -15015, 5785, -1584, 233 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Row sums equal 1 (proof by Bill Gosper, Apr 17 2011). Row sums of absolute terms equal A081696. REFERENCES Email of R. W. Gosper on the math-fun mailing list, Apr 17 2011. LINKS Table of n, a(n) for n=1..78. EXAMPLE Table starts 1, -1, 2, 2, -4, 3, -5, 10, -9, 5, MATHEMATICA Table[(-1)^(k + n) k/(2n - k) Binomial[2n - k, n - k] Fibonacci[k + 1], {n, 12}, {k, n}] CROSSREFS Cf. A081696, A171567, A064310. Sequence in context: A182577 A357189 A241450 * A248746 A227154 A324655 Adjacent sequences: A189672 A189673 A189674 * A189676 A189677 A189678 KEYWORD sign,tabl AUTHOR Wouter Meeussen, Apr 25 2011 STATUS approved

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Last modified September 11 04:26 EDT 2024. Contains 375814 sequences. (Running on oeis4.)