A023818 - OEIS

A023818

Sum of exponents in prime-power factorization of C(2n,n-2).

0, 2, 3, 5, 4, 4, 6, 8, 6, 7, 8, 9, 8, 10, 11, 12, 11, 11, 12, 14, 11, 12, 14, 15, 13, 15, 16, 16, 13, 13, 17, 19, 14, 16, 18, 17, 15, 18, 19, 22, 20, 20, 21, 24, 21, 20, 23, 24, 23, 24, 22, 23, 22, 23, 24, 25, 22, 24, 27, 27, 22, 26, 29, 30, 26, 26, 28, 30, 27, 28, 31, 31, 29, 31, 31, 33, 31, 28, 31

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OFFSET

2,2

LINKS

Ivan Neretin, Table of n, a(n) for n = 2..10000

MATHEMATICA

Join[{0}, Table[Total[FactorInteger[Binomial[2 n, n - 2]][[All, 2]]], {n, 3, 80}]] (* Ivan Neretin, Nov 02 2017 *)

CROSSREFS

Sequence in context: A123274 A214674 A185332 * A102149 A321782 A104204

Adjacent sequences: A023815 A023816 A023817 * A023819 A023820 A023821

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Offset corrected to 2 by Ivan Neretin, Nov 02 2017

STATUS

approved