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 A114476 Triangle read by rows: inverse of triangle in A061554 with signs in each column +,+,-,-,+,+,-,-,... 0
 1, -1, 1, 3, -1, 1, -3, 4, -1, 1, 5, -4, 5, -1, 1, -5, 9, -5, 6, -1, 1, 7, -9, 14, -6, 7, -1, 1, -7, 16, -14, 20, -7, 8, -1, 1, 9, -16, 30, -20, 27, -8, 9, -1, 1, -9, 25, -30, 50, -27, 35, -9, 10, -1, 1, 11, -25, 55, -50, 77, -35, 44, -10, 11, -1, 1, -11, 36, -55, 105, -77, 112, -44, 54, -11, 12, -1, 1, 13, -36, 91, -105, 182, -112, 156 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Unsigned row sums appear to be A014739. LINKS EXAMPLE Start with a signed version of A061554: 1; 1, 1; -2, 1, 1; -3, -3, 1, 1; 6, -4, -4, 1, 1; 10, 10, -5, -5, 1; ... and invert it, getting: 1 -1, 1; 3, -1, 1; -3, 4, -1, 1; 5, -4, 5, -1, 1; -5, 9, -5, 6, -1, 1; ... MAPLE A061554 := proc(n, k) binomial(n+k, floor(k/2)) ; end: nmax := 13 : A := array(1..nmax, 1..nmax) : for r from 1 to nmax do for c from 1 to nmax do A[r, c] := A061554(c-1, r-c)*(-1)^floor((r-c)/2) ; od: od: A := linalg[inverse](A) : for r from 1 to nmax do for c from 1 to r do printf("%d, ", A[r, c]) ; od: od: # R. J. Mathar, Jan 31 2008 CROSSREFS Sequence in context: A192812 A125127 A051120 * A260419 A117184 A035690 Adjacent sequences:  A114473 A114474 A114475 * A114477 A114478 A114479 KEYWORD sign,tabl,easy AUTHOR Gary W. Adamson, Nov 27 2006 EXTENSIONS Edited by N. J. A. Sloane, Dec 01 2006 More terms from R. J. Mathar, Jan 31 2008 STATUS approved

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Last modified April 3 14:34 EDT 2020. Contains 333197 sequences. (Running on oeis4.)