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Revision History for A351006

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Showing entries 1-10 | older changes
Number of integer partitions of n into parts that are alternately unequal and equal.
(history; published version)
#12 by Alois P. Heinz at Fri Feb 04 07:44:09 EST 2022
STATUS

reviewed

#11 by Joerg Arndt at Fri Feb 04 02:28:03 EST 2022
STATUS

proposed

#10 by Alois P. Heinz at Thu Feb 03 13:45:47 EST 2022
STATUS

editing

#9 by Alois P. Heinz at Thu Feb 03 13:45:24 EST 2022
MAPLE

b:= proc(n, i, t) option remember; `if`(n=0, 1, `if`(i<1, 0,

`if`(t=0, b(n-i, min(n-i, i-1), 1-t), `if`(n=i, 1, (t->

`if`(t>n, 0, b(n-t, min(n-t, i-1), 1-t)))(2*i)))+b(n, i-1, t)))

end:

a:= n-> b(n$2, 0):

seq(a(n), n=0..80); # Alois P. Heinz, Feb 03 2022

Discussion
Thu Feb 03
13:45
Alois P. Heinz: will entre program later ...
#8 by Alois P. Heinz at Thu Feb 03 13:29:13 EST 2022
MAPLE

#7 by Alois P. Heinz at Thu Feb 03 13:27:14 EST 2022
NAME

Number of integer partitions of n that are alternately unequal and equal.

#6 by Alois P. Heinz at Thu Feb 03 13:10:47 EST 2022
STATUS

proposed

Discussion
Thu Feb 03
13:11
Alois P. Heinz: or into parts that are ...
#5 by Gus Wiseman at Tue Feb 01 00:49:48 EST 2022
STATUS

editing

Discussion
Thu Feb 03
13:10
Alois P. Heinz: into terms that are ...
#4 by Gus Wiseman at Tue Feb 01 00:49:43 EST 2022
CROSSREFS

Not requiring the equalities gives A122129, opposite A122135, even-length A351008.

Cf. A000070, A003242, A018819, A027383, `A035363, `A087897, `A088218, `A101417, A122134, `A344605, ~A345194, ~A350837, ~A350839, A350842, A350844, `A351011.

#3 by Gus Wiseman at Mon Jan 31 16:28:15 EST 2022
CROSSREFS

The non-strict version is A351003, opposite A351004, even-length new.