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 A098124 Number of compositions of n in which the largest part is equal to the number of parts. 16
 1, 0, 2, 1, 3, 6, 10, 15, 30, 54, 92, 160, 282, 492, 859, 1490, 2570, 4428, 7627, 13098, 22421, 38290, 65265, 111018, 188475, 319380, 540266, 912397, 1538371, 2589858, 4353820, 7309362, 12255474, 20523307, 34328731, 57357184, 95733131, 159626049 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..38. FORMULA G.f.: Sum_{k>=1} ((x^(k+1)-x)^k - (x^k-x)^k)/(x-1)^k. EXAMPLE a(7)=10 because we have 223, 232, 322, 133, 313, 331, 1114, 1141, 1411 and 4111. MAPLE G:=sum(((x^(k+1)-x)^k-(x^k-x)^k)/(x-1)^k, k=1..25):Gser:=series(G, x=0, 45):seq(coeff(Gser, x^n), n=1..42); # Emeric Deutsch, Apr 16 2005 CROSSREFS Cf. A077229, A047993. Sequence in context: A329101 A024866 A076058 * A020992 A025110 A075346 Adjacent sequences: A098121 A098122 A098123 * A098125 A098126 A098127 KEYWORD easy,nonn AUTHOR Vladeta Jovovic, Sep 25 2004 EXTENSIONS More terms from Emeric Deutsch, Apr 16 2005 STATUS approved

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Last modified May 29 22:39 EDT 2023. Contains 363044 sequences. (Running on oeis4.)