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 A199120 Number of partitions of n into terms of (1,4)-Ulam sequence, cf. A003666. 6
 1, 1, 1, 1, 2, 3, 4, 5, 7, 8, 11, 13, 17, 20, 25, 30, 38, 44, 54, 63, 77, 90, 107, 124, 148, 171, 202, 231, 271, 310, 360, 412, 477, 542, 622, 705, 809, 915, 1042, 1175, 1335, 1501, 1699, 1905, 2148, 2403, 2702, 3018, 3383, 3768, 4212, 4682, 5223, 5794, 6445 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Table of n, a(n) for n=0..54. Eric Weisstein's World of Mathematics, Ulam Sequence Wikipedia, Ulam number Index entries for Ulam numbers EXAMPLE The first terms of A003666 are 1, 4, 5, 6, 7, 8, 10, 16, 18, 19, ... a(7) = #{7, 6+1, 5+1+1, 4+1+1+1, 7x1} = 5; a(8) = #{8, 7+1, 6+1+1, 5+1+1+1, 4+4, 4+1+1+1+1, 8x1} = 7; a(9) = #{8+1, 7+1+1, 6+1+1+1, 5+4, 5+1+1+1+1, 4+4+1, 4+5x1, 9x1} = 8. PROG (Haskell) a199120 = p a003666_list where p _ 0 = 1 p us'@(u:us) m | m < u = 0 | otherwise = p us' (m - u) + p us m CROSSREFS Cf. A000607; A199016, A199118, A199121, A199122. Sequence in context: A080655 A367358 A354816 * A118083 A241093 A116470 Adjacent sequences: A199117 A199118 A199119 * A199121 A199122 A199123 KEYWORD nonn AUTHOR Reinhard Zumkeller, Nov 03 2011 STATUS approved

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Last modified May 23 09:20 EDT 2024. Contains 372760 sequences. (Running on oeis4.)