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

Author

Olivier Gérard, Oct 18 2012

Keywords

• nonn

Crossrefs

Cf. Row sums of absolute values of A214292

Programs

Maxima

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

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)