

A066600


Sum of the digits in the nth row of Pascal's triangle.


2



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
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OFFSET

0,2


LINKS

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


EXAMPLE

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.


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}]


PROG

(PARI) SumD(x)= { local(s=0); while (x>9, s+=x%10; x\=10); return(s + x) } { for (n=0, 1000, a=0; for (m=0, floor((n1)/2), a+=2*SumD(binomial(n, m))); if (n%2 == 0, a+=SumD(binomial(n, n/2))); write("b066600.txt", n, " ", a) ) } \\ Harry J. Smith, Mar 08 2010


CROSSREFS

Sequence in context: A334629 A108565 A066005 * A210025 A309571 A210023
Adjacent sequences: A066597 A066598 A066599 * A066601 A066602 A066603


KEYWORD

base,easy,nonn


AUTHOR

Amarnath Murthy, Dec 22 2001


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


STATUS

approved



