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A194804
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Sum of parts that are visible in one of the three views of the shell model of partitions version "tree" with n shells.
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4
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0, 1, 4, 8, 15, 23, 40, 59, 92, 137, 202, 285, 418, 577, 802, 1106, 1511, 2019, 2724, 3598, 4755, 6226, 8107, 10462, 13523, 17280, 22029, 27953, 35350, 44416, 55763, 69579, 86634, 107459, 132914, 163768, 201475, 246841, 301822, 368033, 447790, 543206
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OFFSET
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0,3
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COMMENTS
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LINKS
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FORMULA
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EXAMPLE
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Illustration of one of the three views with seven shells:
.
. . . . . 1 . . . .
. . . . 2 1 . . . .
. Table 2.0 . 3 . . 1 2 . . . Table 2.1
. . . 2 2 1 . . 3 .
. . . . . 1 2 2 . .
. 1 . . . .
.
The sum of parts that are visible is 1+1+1+1+1+1+1+2+2+2+2+2+2+2+3+3+3+3+4+4+5+6+7 = 59, so a(7) = 59. Using the formula we have a(7) = 7+24+28 = 59.
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CROSSREFS
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Cf. A002865, A066186, A135010, A138121, A138880, A182732, A182733, A182742, A182743, A182982, A182983, A182992-A182995, A194803, A194805.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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