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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: A132474 A032070 A066569 * A003098 A045914 A303351

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 July 28 22:55 EDT 2021. Contains 346340 sequences. (Running on oeis4.)