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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

%I #20 Nov 23 2019 04:05:49

%S 1,2,5,12,21,39,73,118,198,326,510,797,1234,1854,2778,4122,6014,8717,

%T 12550,17849,25252,35486,49447,68540,94480,129378,176339,239165,

%U 322676,433487,579907,772318,1024691,1354445,1783504

%N 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.

%C The last section of the set of partitions of 2n+1 contains n subshells.

%C Also first differences of A182735. - _Omar E. Pol_, Mar 03 2011

%F a(n) = A138135(2n+1) - A138135(2n-1).

%e a(5)=21 because the 5th subshell of the head of the last section of any odd integer >= 11 looks like this:

%e (11 . . . . . . . . . . )

%e ( 6 . . . . . 5 . . . . )

%e ( 7 . . . . . . 4 . . . )

%e ( 8 . . . . . . . 3 . . )

%e ( 4 . . . 4 . . . 3 . . )

%e ( 5 . . . . 3 . . 3 . . )

%e . (2 . )

%e . (2 . )

%e . (2 . )

%e . (2 . )

%e . (2 . )

%e . (2 . )

%e . (2 . )

%e . (2 . )

%e The subshell has 21 parts, so a(5)=21.

%Y Cf. A135010, A138135, A182735, A182743, A182983, A182992, A182995.

%K nonn

%O 1,2

%A _Omar E. Pol_, Feb 06 2011

%E More terms from _Omar E. Pol_, Mar 03 2011

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Last modified April 19 15:11 EDT 2024. Contains 371794 sequences. (Running on oeis4.)