A066600 Sum of the digits in the n-th row of Pascal's triangle.

1, 2, 4, 8, 16, 14, 28, 38, 67, 80, 43, 86, 127, 164, 94, 152, 178, 248, 298, 362, 337, 332, 385, 446, 451, 398, 499, 602, 574, 698, 703, 794, 805, 854, 1015, 1040, 1135, 1226, 1201, 1286, 1330, 1400, 1531, 1640, 1687, 1754, 1861, 2102, 2161, 2450, 2074

Offset: 0

Author

Amarnath Murthy, Dec 22 2001

Keywords

• base
• easy
• nonn

Examples

			The 7th row in Pascal's triangle is 1, 7, 21, 35, 35, 21, 7, 1 and the sum of the digits is 38 hence a(7) = 38.
		

Links

• Harry J. Smith, Table of n, a(n) for n = 0..1000

Programs

Mathematica

f[n_] := Block[{m = s = 0}, While[m < n + 1, s = s + Apply[ Plus, IntegerDigits[ Binomial[n, m]]]; m++ ]; Return[s]]; Table[ f[n], {n, 0, 50}]

PARI

a(n)={vecsum([sumdigits(x) | x<-binomial(n)])} \\ Harry J. Smith, Mar 08 2010

Extensions

Corrected and extended by Robert G. Wilson v, Dec 28 2001

Offset changed from 1 to 0 by Harry J. Smith, Mar 08 2010