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A059883 As upper right triangle: descending wiggly sums to n where first term is k (sums in which terms alternately decrease and increase; zagzig partitions). 4
1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 4, 3, 2, 2, 1, 1, 1, 0, 6, 6, 3, 3, 2, 1, 1, 1, 0, 9, 9, 6, 3, 3, 2, 1, 1, 1, 0, 14, 13, 10, 6, 4, 3, 2, 1, 1, 1, 0, 23, 21, 15, 10, 6, 4, 3, 2, 1, 1, 1, 0, 35, 33, 24, 15, 10, 7, 4, 3, 2, 1, 1, 1, 0, 55, 52, 38, 25 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,17

LINKS

Table of n, a(n) for n=1..96.

FORMULA

If n>k>0 T(n, k)=sum_j[S(n-k, j)] over k>j and if n>0 T(n, n)=1; where S(n, k)=A059882(n, k) and if n>k>0, S(n, k)=sum_j[T(n-k, j)] over j>k (note reversal) and if n>0 S(n, n)=1.

EXAMPLE

Rows start (1,0,0,0,0,...), (1,1,0,1,...), (1,1,1,...) etc. T(10,4)=6 since 10 can be written as 4+2+4, 4+2+3+1, 4+1+5, 4+1+4+1, 4+1+3+2, or 4+1+2+1+2.

CROSSREFS

Column sums are A025049. Cf. A025047, A025048, A059881, A059882.

Sequence in context: A025904 A137993 A282778 * A086967 A098490 A247138

Adjacent sequences:  A059880 A059881 A059882 * A059884 A059885 A059886

KEYWORD

nonn,tabl

AUTHOR

Henry Bottomley, Feb 05 2001

STATUS

approved

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Last modified February 23 15:43 EST 2018. Contains 299581 sequences. (Running on oeis4.)