The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A332065

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A332065

Infinite square array where row n lists the integers whose n-th power is the sum of distinct n-th powers of positive integers; read by falling antidiagonals.
(history; published version)

#58 by Joerg Arndt at Fri Dec 20 02:08:50 EST 2024

STATUS

reviewed

approved

#57 by Michel Marcus at Fri Dec 20 01:33:59 EST 2024

STATUS

proposed

reviewed

#56 by Jason Yuen at Thu Dec 19 23:53:33 EST 2024

STATUS

editing

proposed

#55 by Jason Yuen at Thu Dec 19 23:53:32 EST 2024

COMMENTS

All positive multiples of any T(n,k) appear later in that row (because if s^n = Sum_{x in S} x^n, then (k*s)^n = Sum_{x in k*S} x^n).

STATUS

approved

editing

#54 by Michael De Vlieger at Mon Jul 31 15:40:53 EDT 2023

STATUS

proposed

approved

#53 by Peter Munn at Mon Jul 31 14:58:01 EDT 2023

STATUS

editing

proposed

#52 by Peter Munn at Mon Jul 31 14:33:40 EDT 2023

KEYWORD

nonn,moretabl

STATUS

approved

editing

Discussion

Mon Jul 31

14:58

Peter Munn: Clearly keyword:tabl was missing. I see no good reason why keyword:more was not removed when further terms were added in July 2020 -- terminating the data (possibly slightly short of convention) at the end of an antidiagonal seems quite deliberate, as the first 11 terms of the next antidiagonal are given in the example.

#51 by M. F. Hasler at Tue Jul 21 19:01:48 EDT 2020

STATUS

editing

approved

#50 by M. F. Hasler at Tue Jul 21 18:55:02 EDT 2020

DATA

3, 4, 5, 5, 7, 6, 6, 9, 9, 15, 7, 10, 12, 25, 12, 8, 11, 13, 27, 23, 25, 9, 12, 14, 29, 24, 28, 40, 10, 13, 15, 30, 28, 32, 43, 84, 11, 14, 16, 31, 29, 34, 44, 85, 47, 12, 15, 17, 33, 30, 35, 45, 86, 49, 63, 13, 16, 18, 35, 31, 36, 46, 88, 87, 52, 64, 68

EXAMPLE

8 | 84 * 85 86 87 88 89 90* 91 92 93 94 95 96 96 97 ...

STATUS

approved

editing

Discussion

Tue Jul 21

19:01

M. F. Hasler: Missing 87 and 89 inserted. (87^8={70, 69, 67, 65, 64, 63, 61, 59, 57, 56, 55, 53, 52, 51, 49, 47, 46, 45, 44, 43, 41, 39, 37, 36, 35, 33, 31, 29, 28, 27, 26, 25, 24, 22, 21, 19, 18, 17, 15, 14, 1, 2, 3, 5, 7, 8, 9, 11, 12}^8 and several others,  89^8=Sum{71, 69, 67, 66, 65, 63, 62, 61, 60, 59, 58, 57, 56, 55, 53, 52, 51, 49, 48, 47, 45, 43, 41, 39, 37, 35, 34, 33, 30, 29, 27, 25, 24, 23, 21, 19, 15, 1, 3, 4, 5, 7, 8, 9, 11}^8.) Not clear why these were missing...

#49 by M. F. Hasler at Sun Jul 19 06:05:44 EDT 2020

STATUS

editing

approved