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 A051641 Palindromic binomial coefficients C(n,k) for k >= 2. 1
 3, 6, 55, 66, 171, 252, 595, 666, 969, 1001, 1771, 2002, 3003, 3003, 3003, 5005, 5995, 8008, 8778, 15051, 66066, 617716, 646646, 828828, 1269621, 1680861, 3262623, 3544453, 5073705, 5676765, 6295926, 6378736, 35133153, 61477416, 178727871 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES Alfred S. Posamentier & Ingmar Lehmann, The (Fabulous) Fibonacci Numbers, Prometheus Books, NY, 2007, page 93. LINKS Table of n, a(n) for n=1..35. EXAMPLE C(10,5)=252. 3003 occurs thrice because C(14,6)=C(15,5)=C(78,2)=3003. MATHEMATICA fQ[n_] := Block[{id = IntegerDigits@n}, id == Reverse@id]; lst = {}; Do[ k = 2; While[k < n/2 + 1, b = Binomial[n, k]; If[fQ@b, AppendTo[lst, b]; Print@b]; k++ ], {n, 25000000}]; Take[ Union@ lst, 35] (* Robert G. Wilson v *) CROSSREFS Cf. A002113, A006987, A104182. Sequence in context: A032070 A355637 A066569 * A003098 A045914 A370520 Adjacent sequences: A051638 A051639 A051640 * A051642 A051643 A051644 KEYWORD nonn,base,nice,easy AUTHOR Joe DeMaio (jdemaio(AT)kennesaw.edu) EXTENSIONS More terms from Robert G. Wilson v, Aug 20 2000 STATUS approved

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Last modified August 10 21:39 EDT 2024. Contains 375058 sequences. (Running on oeis4.)