A102055 Column 1 of A102054, the matrix inverse of A060083 (Euler polynomials).

1, 2, 1, 4, -13, 142, -1931, 36296, -893273, 27927346, -1081725559, 50861556172, -2854289486309, 188475382997654, -14467150771771043, 1277417937676246672, -128570745743431055281, 14632875988040732946106, -1869882665740777942166543, 266593648798424693540514836

Offset

0,2

Comments

1-a(n+1) equals the n-th partial sum of the Genocchi numbers (A001469).

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = 1 - Sum_{k=1, n} A001469(k) for n>0, with a(0)=1.

This sequence's twin numbers are given in A133135. - Paul Curtz, Aug 07 2008

Prog

(PARI) {a(n)=local(M=matrix(n+2, n+2)); M[1, 1]=1; if(n>0, M[2, 1]=1; M[2, 2]=1); for(r=3, n+2, for(c=1, r, M[r, c]=if(c==1, M[r-1, 1], if(c==r, 1, M[r, c]=M[r-1, c]-((matrix(r-1, r-1, i, j, M[i, j]))^-1)[r-1, c-1])))); return(if(n==0, 1, M[n+2, 2]))}

Crossrefs

Cf. A001469, A060083, A102054, A102056.

Sequence in context: A309878 A066409 A006173 * A232376 A350739 A263575

Adjacent sequences: A102052 A102053 A102054 * A102056 A102057 A102058

Keyword

sign

Author

Paul D. Hanna, Dec 28 2004

Status

approved