Revision History for A365821
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#14 by OEIS Server at Sat Dec 16 20:12:21 EST 2023
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Alois P. Heinz, <a href="/A365821/b365821_1.txt">Table of n, a(n) for n = 0..350</a>
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#13 by Alois P. Heinz at Sat Dec 16 20:12:21 EST 2023
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Discussion
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| Sat Dec 16
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| OEIS Server: Installed first b-file as b365821.txt.
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#12 by Alois P. Heinz at Sat Dec 16 20:12:11 EST 2023
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| LINKS
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Alois P. Heinz, <a href="/A365821/b365821_1.txt">Table of n, a(n) for n = 0..350</a>
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#11 by Alois P. Heinz at Sat Dec 16 18:38:21 EST 2023
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| MAPLE
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b:= proc(n, i, t, m) option remember; `if`(n=0, t^(m-i+1),
`if`((i+m)*(m+1-i)/2<n or i>n, 0, `if`(t=0, 0,
t*b(n, i+1, t, m))+ b(n-i, i+1, t+1, m)))
end:
a:= n-> add(b(k, 1, 0, n-k), k=0..n):
seq(a(n), n=0..42);
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#10 by Alois P. Heinz at Fri Dec 15 15:27:54 EST 2023
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#9 by Alois P. Heinz at Fri Dec 15 15:25:45 EST 2023
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| FORMULA
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a(8) = 11: 124|3, 12|34, 1345|2, 134|25, 135|24, 13|245, 145|23, 14|235, 15|234, 1|2345, 1234567.
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#8 by Alois P. Heinz at Fri Dec 15 15:23:38 EST 2023
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| FORMULA
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a(7) = 6: 12|3, 134|2, 13|24, 14|23, 1|234, 123456.
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#7 by Alois P. Heinz at Fri Dec 15 15:19:01 EST 2023
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| NAME
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ads
Total number of partitions of [n-s] whose block minima sum to s, summed over all s.
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| LINKS
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Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>
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| CROSSREFS
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Cf. Antidiagonal sums of A124327.
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#6 by Alois P. Heinz at Thu Dec 14 16:46:31 EST 2023
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| DATA
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1, 0, 1, 1, 1, 2, 3, 6, 11, 23, 46, 97, 205, 448, 1004, 2339, 5661, 14291, 37507, 101962, 285386, 817772, 2386946, 7069893, 21195092, 64225525, 196636559, 608551084, 1905848637, 6049696252, 19501015441, 63960251538, 213822965681, 729536174204, 2541833303563
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| OFFSET
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0,16
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#5 by Alois P. Heinz at Thu Dec 14 16:44:01 EST 2023
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| NAME
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allocated for Alois P. Heinz
ads
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| DATA
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3, 6, 11, 23, 46, 97, 205
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| OFFSET
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0,1
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| CROSSREFS
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Cf. A124327.
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| KEYWORD
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allocated
nonn
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| AUTHOR
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Alois P. Heinz, Dec 14 2023
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| STATUS
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approved
editing
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