A182994 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.

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

Offset

1,1

Comments

The last section of the set of partitions of 2n contains n subshells.

Also first differences of A182736. - Omar E. Pol, Mar 03 2011

Links

Table of n, a(n) for n=1..34.

Formula

a(1) = 2. a(n) = A138880(2n) - A138880(2n-2), n >= 2.

Example

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.

Crossrefs

Cf. A135010, A138880, A182736, A182742, A182982, A182992, A182995.

Sequence in context: A330503 A171218 A032091 * A309691 A235792 A192706

Adjacent sequences: A182991 A182992 A182993 * A182995 A182996 A182997

Keyword

nonn

Author

Omar E. Pol, Feb 06 2011

Extensions

More terms from Omar E. Pol, Mar 03 2011

Status

approved