A011816 M-sequences from multicomplexes on 4 variables with all monomials of degree 8 but none of degree larger than n.

0, 0, 0, 0, 0, 0, 0, 0, 1, 221, 29745, 3204423, 307002944, 27599253281, 2402068598621, 206421946595193, 17745023547769043, 1539711485029843466, 135701086522090847679, 12203103757932310440888

Offset

0,10

References

S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266.

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = Sum_{k=8..n} L(4, n, k) where L(p, n, k) = Sum_{i=k..n} L(p-1, n, i) * L(p, i-1, k-1) with boundary conditions L(p, n, n) = L(p, n, -1) = 1 (p >= 0, n >= -1), L(0, n, k) = 0 (0 <= k < n) [from Linusson]. - Sean A. Irvine, Jun 28 2018

Crossrefs

Sequence in context: A177420 A220737 A220723 * A048902 A210135 A013548

Adjacent sequences: A011813 A011814 A011815 * A011817 A011818 A011819

Keyword

nonn

Author

Svante Linusson (linusson(AT)math.kth.se)

Extensions

Offset corrected by Sean A. Irvine, Jun 28 2018

Status

approved