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A244718
Number of compositions of n with exactly 6 transitions between different parts.
2
1, 8, 52, 225, 813, 2444, 6563, 15837, 35304, 73544, 144542, 270622, 485229, 838813, 1401911, 2277346, 3601229, 5565741, 8415746, 12487185, 18197114, 26097804, 36868409, 51383060, 70693900, 96130946, 129286606, 172104111, 226920654, 296516361, 384211698
OFFSET
10,2
LINKS
MAPLE
b:= proc(n, v) option remember; `if`(n=0, [1, 0$6],
add(`if`(v in [0, i], b(n-i, `if`(i<=n-i, i, -1)),
[0, b(n-i, `if`(i<=n-i, i, -1))[1..6][]]), i=1..n))
end:
a:= n-> b(n, 0)[7]:
seq(a(n), n=10..60);
CROSSREFS
Column k=6 of A238279.
Sequence in context: A302816 A026963 A026973 * A303509 A107584 A323940
KEYWORD
nonn
AUTHOR
Joerg Arndt and Alois P. Heinz, Jul 04 2014
STATUS
approved