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A049430 Triangle read by rows: T(n,d) is the number of distinct properly d-dimensional polyominoes (or polycubes) with n cells (n >= 1, d >= 0). 13
1, 0, 1, 0, 1, 1, 0, 1, 4, 2, 0, 1, 11, 11, 3, 0, 1, 34, 77, 35, 6, 0, 1, 107, 499, 412, 104, 11, 0, 1, 368, 3442, 4888, 2009, 319, 23, 0, 1, 1284, 24128, 57122, 36585, 8869, 951, 47, 0, 1, 4654, 173428, 667959, 647680, 231574, 36988, 2862, 106, 0, 1, 17072, 1262464, 7799183, 11173880, 5712765, 1297366, 146578, 8516, 235 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,9

LINKS

Table of n, a(n) for n=1..66.

W. F. Lunnon, Counting multidimensional polyominoes. Computer Journal 18 (1975), no. 4, pp. 366-367.

EXAMPLE

Triangle begins:

1

0 1

0 1     1

0 1     4       2

0 1    11      11       3

0 1    34      77      35        6

0 1   107     499     412      104      11

0 1   368    3442    4888     2009     319      23

0 1  1284   24128   57122    36585    8869     951     47

0 1  4654  173428  667959   647680  231574   36988   2862  106

0 1 17072 1262464 7799183 11173880 5712765 1297366 146578 8516 235

...

CROSSREFS

Cf. A049429, A195738, A195739.

Row sums give A005519. Columns give A006765, A006766, A006767, A006768.

A000055 is first diagonal; A036364 is second diagonal.

Cf. A330891 (cumulative sums of the rows).

Sequence in context: A088393 A121225 A216715 * A055356 A297331 A028956

Adjacent sequences:  A049427 A049428 A049429 * A049431 A049432 A049433

KEYWORD

nonn,nice,tabl,hard,more

AUTHOR

Richard C. Schroeppel

EXTENSIONS

Edited by N. J. A. Sloane, Sep 23 2011

More terms from John Niss Hansen, Mar 31 2015

STATUS

approved

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Last modified June 21 00:40 EDT 2021. Contains 345329 sequences. (Running on oeis4.)