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A293452 Triangle T(n,k) read by rows: T(n,k) is the number of iterations to reach a final state for an n X k lattice of sand piles on a torus according to rules specified in A249872. 1
0, 1, 7, 2, 14, 28, 7, 35, 65, 133, 10, 47, 86, 198, 316, 22, 86, 134, 331, 487, 913, 28, 106, 164, 399, 696, 1099, 1360, 50, 159, 288, 589, 930, 1518, 1798, 2987, 60, 187, 336, 681, 1070, 1966, 2320, 3432, 4340, 95, 265, 515, 1052, 1386, 2430, 3475, 4484, 5977, 7495, 110, 303, 584, 1184, 1556, 2718 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Joerg Arndt, Table of n, a(n) for n = 1..5050 (rows 1..50)

Wikipedia, Abelian sandpile model

FORMULA

T(n,n) = A249872(n).

Conjecture: T(n,1) = A023855(n).

EXAMPLE

Triangle begins:

0

1, 7

2, 14, 28

7, 35, 65, 133

10, 47, 86, 198, 316

22, 86, 134, 331, 487, 913

28, 106, 164, 399, 696, 1099, 1360

50, 159, 288, 589, 930, 1518, 1798, 2987

60, 187, 336, 681, 1070, 1966, 2320, 3432, 4340

95, 265, 515, 1052, 1386, 2430, 3475, 4484, 5977, 7495

...

CROSSREFS

Cf. A249872.

Sequence in context: A040048 A070429 A050092 * A030406 A336194 A332209

Adjacent sequences:  A293449 A293450 A293451 * A293453 A293454 A293455

KEYWORD

nonn,tabl

AUTHOR

Joerg Arndt, Oct 09 2017

STATUS

approved

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Last modified January 19 12:28 EST 2022. Contains 350465 sequences. (Running on oeis4.)