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 A003403 G.f.: (1 + x^3 + x^4 + ... + x^12 + x^15)/Product_{i=1..10} (1 - x^i). (Formerly M1049) 3
 1, 1, 2, 4, 7, 11, 18, 27, 41, 60, 87, 122, 172, 235, 320, 430, 572, 751, 982, 1268, 1629, 2074, 2625, 3297, 4123, 5118, 6324, 7771, 9506, 11567, 14023, 16917, 20335, 24343, 29039, 34510, 40885, 48265, 56811, 66661, 78001, 91001, 105901, 122902, 142291, 164329, 189347 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Enumerates certain triangular arrays of integers. REFERENCES J. C. P. Miller, On the enumeration of partially ordered sets of integers, pp. 109-124 of T. P. McDonough and V. C. Mavron, editors, Combinatorics: Proceedings of the Fourth British Combinatorial Conference 1973. London Mathematical Society, Lecture Note Series, Number 13, Cambridge University Press, NY, 1974. The g.f. is in Eq. (10.5). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS MAPLE (1+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12+x^15)/mul(1-x^i, i=1..10); MATHEMATICA CoefficientList[Series[(1+Total[x^Range[3, 12] ]+x^15)/Product[ {i, 10}], {x, 0, 50}], x] (* Harvey P. Dale, Jun 24 2018 *) CROSSREFS Cf. A003402, A003404, A003405, A029073, A256975, A256976, A256977. Sequence in context: A129929 A073738 A137631 * A261666 A034412 A289131 Adjacent sequences:  A003400 A003401 A003402 * A003404 A003405 A003406 KEYWORD nonn AUTHOR EXTENSIONS Entry revised by N. J. A. Sloane, Apr 22 2015 STATUS approved

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Last modified January 26 22:05 EST 2022. Contains 350601 sequences. (Running on oeis4.)