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A160648
Second differences of sequence A160644.
2
0, 1, 0, 0, 2, 0, 1, 4, 2, 3, 9, 6, 11, 19, 19, 27, 44, 49, 68, 98, 118, 157, 220, 268, 354, 473, 591, 765, 1003, 1254, 1609, 2071, 2597, 3293, 4192, 5236, 6594, 8308, 10345, 12926, 16163, 20031, 24886, 30890, 38123, 47081, 58102, 71381, 87704, 107643
OFFSET
1,5
COMMENTS
A160644 bisects sequence A053445 which counts unrestricted partitions such that the two largest values match and that no part is less than two.
Conjecture: a(n) counts unrestricted partitions of even numbers such that
the three largest values match and that, after "222", no part is less than three.
LINKS
EXAMPLE
a(n) begins 0 1 0 0 2 0 1 4 2 3 9 ... and counts 222; 444,3333;
666,5553,444433,333333; 5555,44444; 6664,55543,444433;
888,6666,7773,55554,66633,444444,555333,4443333,33333333; ...
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Alford Arnold, May 25 2009
STATUS
approved