0,5

a(i,j)=a(i-1,j)+a(i-1,j-1), ref p.33 (10) ; (q+1-j)*sum(from 0 to q) a(i,j)*(-1)^(q-j)=C(i,q),Pascal, ref p.35 (21).

(*) First bisection = 1, 12, 720 = A002196. Square linked with A002195.Explained soon. A091137(2n+1)/A091137(2n)=A027760.

P. Curtz Integration .. ,note 12,C.C.S.A. ,Arcueil,1969.

Without denominators 1, 2, 12, 24, 720 =A091137 (*), signed square : -1, 1, 1, 1, 19, 27; 1, -3, 5, 1, 11, 11; -1, 5, -23, 9, 19, 11; 1, -7, 53, -55, 251, 27; -1, 9, -95, 161, -1901, 475; 1, -11, 149, -351, 6731, -4277; link between first and second row: 1=2*(-1)-(-3), 1=6*1-5, 1=2*1-1, 19=30*1-11, 27=2*19-11. General. 2, 6, 2, 30, 2 =A027760.

Sequence in context: A146651 A146808 A147232 this_sequence A069529 A138335 A091448

Adjacent sequences: A141414 A141415 A141416 this_sequence A141418 A141419 A141420

sign,uned

Paul Curtz (bpcrtz(AT)free.fr), Aug 05 2008