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A182994
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Sum of all parts of the n-th subshell of the head of the last section of the set of partitions of any even integer >= 2n.
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7
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2, 6, 16, 32, 64, 132, 224, 404, 704, 1156, 1880, 3060, 4748, 7396, 11346, 17054, 25454, 37706, 54980, 79756, 114702, 163394, 231288, 325408, 454138, 630542, 870504, 1194536, 1631196, 2216992, 2997542, 4036022, 5411108, 7223636
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OFFSET
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1,1
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COMMENTS
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The last section of the set of partitions of 2n contains n subshells.
Also first differences of A182736. - Omar E. Pol, Mar 03 2011
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LINKS
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FORMULA
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EXAMPLE
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a(5)=64 because the 5th subshell of the head of the last section of any even integer >= 10 looks like this:
(10 . . . . . . . . . )
( 5 . . . . 5 . . . . )
( 6 . . . . . 4 . . . )
( 7 . . . . . . 3 . . )
( 4 . . . 3 . . 3 . . )
. (2 . )
. (2 . )
. (2 . )
. (2 . )
. (2 . )
. (2 . )
. (2 . )
There are 17 parts whose sum is 10+5+5+6+4+7+3+4+3+3+2+2+2+2+2+2+2 = 10*5 + 2*7 = 64, so a(5)=64.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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More terms from Omar E. Pol, Mar 03 2011
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STATUS
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approved
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