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 A174026 Convolved with its aerated variant = (1, 2, 3, ...). 2
 1, 2, 1, 0, 2, 4, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 4, 2, 0, 4, 8, 4, 0, 2, 4, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 4, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 2, 0, 4, 8, 4, 0, 2, 4, 2, 0, 0, 0, 0, 0, 4, 8, 4, 0, 8, 16, 8, 0, 4, 8, 4, 0, 0, 0, 0, 0, 2, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Equals left border of triangle A174064. With suitable polcoeff offsets, we obtain: (x * 2x^2 + x^3 + 2x^5) * (1 + 2x^2 + 4x^4 + 2x^8 + 4x^10 + ...) = (x + 2x^2 + 3x^3 + 4x^4 + 5x^5 + ...). LINKS FORMULA Left border of a multiplication table with columns >1 shifted down twice, with row sums = (1, 2, 3, ...); as shown in triangle A174064. EXAMPLE First few rows of triangle A174064 = 1, 2, 1, 0, 2, 4, ... = heading terms, multiplied * left border. 1; 2, 1, 2; 0, 4; 2, 2, 1; 4, 0, 2; 2, 4, 1, 0; 0, 8, 0, 0; 1, 4, 2, 0, 2; 2, 0, 4, 0, 4; ... where each successive column > 1 is shifted down twice, with terms filled in as a product of (1, 2, 1, 0, 2, 4, 2, ...) * (1, 2, 1, 0, 2, 4, 2, ...). The next term in the series is generated in the ongoing left column, such that leftmost term = (n - sum of row n terms in columns > 1). For example, a(9) = 1 since the terms to the right of the 1 in row 9 are (4, 2, 0, 2), sum = 8. CROSSREFS Cf. A174064. Sequence in context: A256678 A066709 A258051 * A226075 A279226 A108354 Adjacent sequences: A174023 A174024 A174025 * A174027 A174028 A174029 KEYWORD nonn AUTHOR Gary W. Adamson, Mar 06 2010 EXTENSIONS More terms from R. J. Mathar, Mar 18 2010 STATUS approved

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Last modified November 27 00:20 EST 2022. Contains 358362 sequences. (Running on oeis4.)