

A199123


Number of partitions of n into distinct terms of (2,3)Ulam sequence, cf. A001857.


6



1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 3, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 8, 8, 9, 11, 10, 12, 14, 12, 17, 16, 17, 22, 19, 24, 25, 25, 30, 30, 33, 37, 37, 42, 45, 46, 52, 54, 57, 64, 66, 69, 79, 76, 87, 93, 91, 109, 105, 115, 126, 123, 140, 144, 151, 166, 169, 180, 193
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OFFSET

0,6


LINKS



EXAMPLE

The first terms of A001857 are 2, 3, 5, 7, 8, 9, 13, 14, 18, 19, 24, ...
a(20) = #{18+2, 13+7, 13+5+2, 9+8+3, 8+7+5, 8+7+3+2} = 6;
a(21) = #{19+2, 18+3, 14+7, 14+5+2, 13+8, 13+5+3, 9+7+5, 9+7+3+2} = 8.


PROG

(Haskell)
a199123 = p a001857_list where
p _ 0 = 1
p (u:us) m  m < u = 0
 otherwise = p us (m  u) + p us m


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



