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 A177457 Triangle read by rows; union of A007318 and A112467. 1
 0, 1, 1, -1, 1, 1, 0, 1, -1, 1, 1, 1, 2, -1, 1, -1, 1, 1, 2, 3, 0, 3, -2, 1, -1, 1, 1, 3, 4, 2, 6, -2, 4, -3, 1, -1, 1, 1, 4, 5, 5, 10, 0, 10, -5, 5, -4, 1, -1, 1, 1, 5, 6, 9, 15, 5, 20, -5, 15, -9, 6, -5, 1, -1, 1, 1, 6, 7, 14, 21, 14, 35, 0, 35, -14, 21, -14, 7, -6, 1, -1, 1, 1, 7, 8, 20, 28 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,13 LINKS Table of n, a(n) for n=1..87. FORMULA T(n, k) = T(n-1, k-1) + T(n-1, k+1), for n > 2 and T(n, k) = 0 for negative k or k > 2*n-1. - Thomas Scheuerle, Feb 02 2023 EXAMPLE Triangle begins: 0 1 1 -1 1 1 0 1 -1 1 1 1 2 -1 1 -1 1 1 2 3 0 3 -2 1 -1 1 1 3 4 2 6 -2 4 -3 1 -1 PROG (MATLAB) function a = A177457( max_row ) a = [0 1 1 -1]; for n = 3:max_row r = [0 0 a(end-((n-2)*2):end) 0 0]; a = [a r(1:end-2)+r(3:end)]; end end % Thomas Scheuerle, Feb 02 2023 CROSSREFS Cf. A007318, A112467. Sequence in context: A283530 A326753 A062093 * A357139 A046214 A232088 Adjacent sequences: A177454 A177455 A177456 * A177458 A177459 A177460 KEYWORD tabf,sign AUTHOR Mark Dols, May 09 2010 EXTENSIONS More terms from Thomas Scheuerle, Feb 02 2023 STATUS approved

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Last modified September 26 14:55 EDT 2023. Contains 365660 sequences. (Running on oeis4.)