A089239 -id:A089239 - cp's OEIS frontend

A089240 Column k=4 of triangle in A089239.

Original entry on oeis.org

1, 0, 0, 0, 1, 3, 7, 14, 25, 41, 63, 93, 132, 182, 244, 321, 414, 526, 658, 814

Offset: 0

N. J. A. Sloane, Dec 11 2003

nonn

N. J. A. Sloane and J. A. Sellers, On non-squashing partitions, Discrete Math., 294 (2005), 259-274.

A089055 Solution to the non-squashing boxes problem (version 2).

Original entry on oeis.org

2, 4, 8, 16, 28, 46, 72, 108, 156, 218, 298, 398, 524, 678, 868, 1096, 1372, 1698, 2086, 2538, 3070, 3684, 4398, 5214, 6156, 7226, 8450, 9830, 11400, 13162, 15152, 17372, 19868, 22642, 25742, 29170, 32986, 37192, 41850, 46962, 52606, 58784, 65576, 72984, 81106

Offset: 0

N. J. A. Sloane, Dec 04 2003

nonn

Given n+1 boxes labeled 0..n, such that box i weighs i grams and can support a total weight of i grams; a(n) = number of stacks of boxes that can be formed such that no box is squashed.

Amanda Folsom, Youkow Homma, Jun Hwan Ryu, and Benjamin Tong, On a general class of non-squashing partitions, Discrete Mathematics 339 (2016) 1482-1506.
N. J. A. Sloane and J. A. Sellers, On non-squashing partitions, arXiv:math/0312418 [math.CO], 2003; Discrete Math., 294 (2005), 259-274.

Cf. A000123, A088567. Equals 2*A089054. Row sums of A089239.

See A089054 for g.f.

cp's OEIS Frontend

A089240 Column k=4 of triangle in A089239.

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A089055 Solution to the non-squashing boxes problem (version 2).

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