A242311 Largest digital sum in row n of Pascal's triangle.

1, 1, 2, 3, 6, 5, 6, 8, 11, 12, 9, 12, 18, 18, 13, 18, 21, 26, 27, 29, 31, 27, 32, 26, 30, 32, 34, 39, 30, 45, 45, 45, 39, 36, 51, 51, 54, 54, 45, 51, 54, 58, 58, 62, 76, 64, 69, 74, 84, 91, 78, 78, 82, 73, 81, 81, 75, 90, 92, 93, 81, 95, 97, 90, 99, 111

Offset

0,3

Links

Reinhard Zumkeller, Table of n, a(n) for n = 0..1000

Formula

a(n) = max(A007953(A007318(n,k)): k=0..n) = max(A096145(n,k): k=0..n).

Prog

(Haskell)
a242311 = maximum . a096145_row
(PARI) a(n) = vecmax(vector(n+1, k, sumdigits(binomial(n, k-1)))); \\ Michel Marcus, Jan 24 2022

Crossrefs

Cf. A007318, A007953, A096145, A242314.

Sequence in context: A003968 A076734 A242314 * A373184 A097723 A187831

Adjacent sequences: A242308 A242309 A242310 * A242312 A242313 A242314

Keyword

nonn,base

Author

Reinhard Zumkeller, May 10 2014

Status

approved