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A059882 As upper right triangle: ascending wiggly sums to n where first term is k (sums in which terms alternately increase and decrease; zigzag partitions). 4
1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 4, 2, 0, 0, 0, 1, 6, 3, 1, 0, 0, 0, 1, 9, 4, 2, 0, 0, 0, 0, 1, 14, 7, 3, 1, 0, 0, 0, 0, 1, 23, 10, 5, 2, 0, 0, 0, 0, 0, 1, 35, 17, 7, 3, 1, 0, 0, 0, 0, 0, 1, 55, 26, 11, 5, 2, 0, 0, 0, 0, 0, 0, 1, 87, 41, 17, 8, 3, 1, 0, 0, 0, 0, 0, 0, 1, 136, 64, 28, 11, 5, 2 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

LINKS

Table of n, a(n) for n=1..97.

FORMULA

If n>k>0 T(n, k)=sum_j[S(n-k, j)] over j>k and if n>0 T(n, n)=1; where S(n, k)=A059883(n, k) and if n>k>0, S(n, k)=sum_j[T(n-k, j)] over k>j (note reversal) and if n>0 S(n, n)=1.

EXAMPLE

Rows start (1,0,1,2,2,...), (1,0,0,1,...), (1,0,0,...) etc. T(10,4)=2 since 10 can be written as 4+6 or 4+5+1.

CROSSREFS

Column sums are A025048. Cf. A025047, A025049, A059881, A059883.

Sequence in context: A277808 A105964 A001899 * A094247 A053694 A085862

Adjacent sequences:  A059879 A059880 A059881 * A059883 A059884 A059885

KEYWORD

nonn,tabl

AUTHOR

Henry Bottomley, Feb 05 2001

STATUS

approved

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Last modified February 24 03:21 EST 2018. Contains 299595 sequences. (Running on oeis4.)