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 A199118 Number of partitions of n into terms of (1,3)-Ulam sequence, cf. A002859. 6
 1, 1, 1, 2, 3, 4, 6, 7, 10, 13, 17, 21, 28, 34, 42, 52, 65, 78, 96, 113, 138, 165, 196, 231, 276, 322, 379, 442, 518, 600, 698, 803, 931, 1071, 1231, 1407, 1615, 1839, 2099, 2384, 2712, 3069, 3478, 3923, 4434, 4991, 5618, 6303, 7083, 7928, 8878, 9916, 11081 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Eric Weisstein's World of Mathematics, Ulam Sequence Wikipedia, Ulam number EXAMPLE The first terms of A002859 are 1, 3, 4, 5, 6, 8, 10, 12, 17, 21, ... a(7) = #{6+1, 5+1+1, 4+3, 4+1+1+1, 3+3+1, 3+1+1+1+1, 7x1} = 7; a(8) = #{8, 6+1+1, 5+3, 5+1+1+1, 4+4, 4+3+1, 4+1+1+1+1, 3+3+1+1, 3+1+1+1+1+1, 8x1} = 10. PROG (Haskell) a199118 = p a002859_list where    p _ 0 = 1    p us'@(u:us) m | m < u     = 0                   | otherwise = p us' (m - u) + p us m CROSSREFS Cf. A000607; A199119, A199016, A199120, A199122. Sequence in context: A336815 A119793 A181436 * A035941 A039854 A237752 Adjacent sequences:  A199115 A199116 A199117 * A199119 A199120 A199121 KEYWORD nonn AUTHOR Reinhard Zumkeller, Nov 03 2011 STATUS approved

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Last modified January 16 09:13 EST 2021. Contains 340204 sequences. (Running on oeis4.)