A023848 Sum of exponents in prime-power factorization of binomial(5n, 2n-1).

1, 5, 4, 8, 6, 10, 11, 13, 11, 15, 13, 16, 16, 18, 18, 20, 18, 20, 18, 25, 21, 23, 22, 27, 24, 30, 28, 28, 28, 31, 32, 33, 29, 33, 32, 36, 32, 36, 37, 39, 35, 40, 32, 37, 38, 38, 39, 40, 40, 43, 41, 48, 44, 47, 47, 49, 45, 50, 47, 53, 50, 53, 50, 52, 50, 54, 50, 52, 53, 54, 57, 58, 55, 59, 57, 62

Offset

1,2

Links

Ivan Neretin, Table of n, a(n) for n = 1..10000

Formula

a(n) = A023847(n) - A001222(3*n+1) + A001222(2*n). - Amiram Eldar, Jun 14 2025

Mathematica

Table[PrimeOmega[Binomial[5 n, 2 n - 1]], {n, 77}] (* Ivan Neretin, Nov 09 2017 *)

Prog

(PARI) a(n) = bigomega(binomial(5*n, 2*n-1)); \\ Amiram Eldar, Jun 14 2025

Crossrefs

Cf. A001222, A023837, A023839, A023840, A023841, A023842, A023843, A023844, A023845, A023846, A023847, A023849, A023850, A023851.

Sequence in context: A198579 A003672 A081818 * A065015 A334401 A295162

Adjacent sequences: A023845 A023846 A023847 * A023849 A023850 A023851

Keyword

nonn

Author

Clark Kimberling

Status

approved