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 A369341 Number of compositions (ordered partitions) of n into triangular numbers not greater than sqrt(n). 0
 1, 1, 1, 1, 1, 1, 1, 1, 1, 19, 28, 41, 60, 88, 129, 189, 277, 406, 595, 872, 1278, 1873, 2745, 4023, 5896, 8641, 12664, 18560, 27201, 39865, 58425, 85626, 125491, 183916, 269542, 395033, 2823330, 4343681, 6682741, 10281375, 15817857, 24335721, 37440426, 57601964 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,10 LINKS Table of n, a(n) for n=0..43. MATHEMATICA Table[SeriesCoefficient[1/(1 - Sum[x^(k (k + 1)/2), {k, 1, Floor[(Sqrt[1 + 8 Sqrt[n]] - 1)/2]}]), {x, 0, n}], {n, 0, 43}] CROSSREFS Cf. A023361, A364526. Sequence in context: A083678 A279771 A257043 * A368871 A120144 A255924 Adjacent sequences: A369338 A369339 A369340 * A369342 A369343 A369344 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Jan 20 2024 STATUS approved

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Last modified July 18 18:59 EDT 2024. Contains 374388 sequences. (Running on oeis4.)