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A182993
Number of parts of the n-th subshell of the head of the last section of the set of partitions of any odd integer >= 2n+1.
5
1, 2, 5, 12, 21, 39, 73, 118, 198, 326, 510, 797, 1234, 1854, 2778, 4122, 6014, 8717, 12550, 17849, 25252, 35486, 49447, 68540, 94480, 129378, 176339, 239165, 322676, 433487, 579907, 772318, 1024691, 1354445, 1783504
OFFSET
1,2
COMMENTS
The last section of the set of partitions of 2n+1 contains n subshells.
Also first differences of A182735. - Omar E. Pol, Mar 03 2011
FORMULA
a(n) = A138135(2n+1) - A138135(2n-1).
EXAMPLE
a(5)=21 because the 5th subshell of the head of the last section of any odd integer >= 11 looks like this:
(11 . . . . . . . . . . )
( 6 . . . . . 5 . . . . )
( 7 . . . . . . 4 . . . )
( 8 . . . . . . . 3 . . )
( 4 . . . 4 . . . 3 . . )
( 5 . . . . 3 . . 3 . . )
. (2 . )
. (2 . )
. (2 . )
. (2 . )
. (2 . )
. (2 . )
. (2 . )
. (2 . )
The subshell has 21 parts, so a(5)=21.
KEYWORD
nonn
AUTHOR
Omar E. Pol, Feb 06 2011
EXTENSIONS
More terms from Omar E. Pol, Mar 03 2011
STATUS
approved