A218008 Sum of successive absolute differences of the binomial coefficients = 2*A014495(n)

0, 0, 2, 4, 10, 18, 38, 68, 138, 250, 502, 922, 1846, 3430, 6862, 12868, 25738, 48618, 97238, 184754, 369510, 705430, 1410862, 2704154, 5408310, 10400598, 20801198, 40116598, 80233198, 155117518, 310235038

Offset

0,3

Links

Table of n, a(n) for n=0..30.

Formula

a(n) = sum |C(n,k+1)-C(n,k)|, k=0..n-1 = 2*sum C(n,k+1)-C(n,k), k=0..floor((n-1)/2) = 2*(C(n, floor((n+1)/2)) - 1)

Prog

(Maxima) A218008(n):=2*(binomial(n, floor((n+1)/2))-1)$
makelist(A218008(n), n, 0, 30); /* Martin Ettl, Nov 01 2012 */

Crossrefs

Cf. Row sums of absolute values of A214292

Sequence in context: A242261 A189892 A240877 * A303346 A197049 A303438

Adjacent sequences: A218005 A218006 A218007 * A218009 A218010 A218011

Keyword

nonn

Author

Olivier Gérard, Oct 18 2012

Status

approved