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 A185541 a(n) = m*(m+1)/2, where m = floor(n^(3/2)). 1
 1, 3, 15, 36, 66, 105, 171, 253, 378, 496, 666, 861, 1081, 1378, 1711, 2080, 2485, 2926, 3403, 4005, 4656, 5356, 6105, 6903, 7875, 8778, 9870, 11026, 12246, 13530, 14878, 16471, 17955, 19701, 21528, 23436, 25425, 27495, 29646, 31878, 34453, 37128, 39621, 42486, 45451, 48516, 52003, 55278, 58996, 62481, 66430, 70125, 74305, 78606, 83028, 87990, 92665, 97461, 102831 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS A subsequence of A000217, the triangular numbers. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..10000 FORMULA a(n) = (1/2)*floor(n^3/2)*floor(1 + n^3/2). MATHEMATICA f[n_]=Floor[n^(3/2)]*Floor[n^(3/2)+1]/2 Table[f[n], {n, 1, 80}] PROG (MAGMA) [Floor(n^(3/2))*Floor(n^(3/2)+1)/2 : n in [1..60]]; // Vincenzo Librandi, Sep 13 2011 CROSSREFS Cf. A000217. Sequence in context: A001803 A161738 A062741 * A176661 A117561 A065765 Adjacent sequences:  A185538 A185539 A185540 * A185542 A185543 A185544 KEYWORD nonn AUTHOR Clark Kimberling, Jan 30 2011 STATUS approved

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Last modified January 18 09:26 EST 2022. Contains 350454 sequences. (Running on oeis4.)