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 A226748 Number of partitions of n into Platonic numbers, cf. A053012. 5
 1, 1, 1, 1, 2, 2, 3, 3, 5, 5, 7, 7, 11, 11, 14, 14, 20, 20, 26, 27, 37, 37, 46, 47, 62, 63, 77, 80, 101, 103, 125, 130, 160, 164, 194, 203, 245, 253, 296, 311, 368, 381, 440, 463, 540, 562, 642, 677, 780, 814, 922, 973, 1107, 1157, 1302, 1375, 1552, 1626 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Table of n, a(n) for n=0..57. EXAMPLE First Platonic numbers: 1, 4, 6, 8, 10, 12, 19, 20, ... a(10) = #{10, 8+1+1, 6+4, 6+1+1+1+1, 4+4+1+1, 4+6x1, 10x1} = 7; a(11) = #{10+1, 8+1+1+1, 6+4+1, 6+5x1, 4+4+1+1+1, 4+7x1, 11x1} = 7; a(12) = #{12, 10+1+1, 8+4, 8+1+1+1+1, 6+6, 6+4+1+1, 6+6x1, 4+4+4, 4+4+1+1+1+1, 4+8x1, 12x1} = 11; a(13) = #{12+1, 10+1+1+1, 8+4+1, 8+5x1, 6+6+1, 6+4+1+1+1, 6+7x1, 4+4+4+1, 4+4+5x1, 4+9x1, 13x1} = 11; a(14) = #{12+1+1, 10+4, 10+1+1+1+1, 8+6, 8+4+1+1, 8+6x1, 6+6+1+1, 6+4+4, 6+4+1+1+1+1, 6+8x1, 4+4+4+1+1, 4+4+6x1, 4+10x1, 14x1} = 14; a(15) = #{12+1+1+1, 10+4+1, 10+5x1, 8+6+1, 8+4+1+1+1, 8+7x1, 6+6+1+1+1, 6+4+4+1, 6+4+5x1, 6+9x1, 4+4+4+1+1+1, 4+4+7x1, 4+11x1, 15x1} = 14; a(16) = #{12+4, 12+1+1+1+1, 10+6, 10+4+1+1, 10+6x1, 8+8, 8+6+1+1, 8+4+4, 8+4+1+1+1+1, 8+8x1, 6+6+4, 6+6+1+1+1+1, 6+4+4+1+1, 6+4+6x1, 6+10x1, 4+4+4+4, 4+4+4+1+1+1+1, 4+4+8x1, 4+12x1, 16x1} = 20. PROG (Haskell) a226748 = p a053012_list where p _ 0 = 1 p ks'@(k:ks) m = if m < k then 0 else p ks' (m - k) + p ks m CROSSREFS Cf. A003108, A068980, A226749. Sequence in context: A177716 A109763 A321523 * A119620 A240870 A265771 Adjacent sequences: A226745 A226746 A226747 * A226749 A226750 A226751 KEYWORD nonn AUTHOR Reinhard Zumkeller, Jun 17 2013 STATUS approved

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Last modified May 22 17:27 EDT 2024. Contains 372758 sequences. (Running on oeis4.)