The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A062707 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A062707

Table by antidiagonals of n*k*(k+1)/2.
(history; published version)

#16 by Charles R Greathouse IV at Thu Sep 08 08:45:03 EDT 2022

PROG

(MAGMAMagma) [k*Binomial(n-k+1, 2): k in [0..n], n in [0..12]]; // G. C. Greubel, Sep 02 2019

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#15 by Joerg Arndt at Tue Sep 03 02:54:21 EDT 2019

STATUS

reviewed

approved

#14 by Michel Marcus at Tue Sep 03 01:29:36 EDT 2019

STATUS

proposed

reviewed

#13 by G. C. Greubel at Mon Sep 02 21:40:23 EDT 2019

STATUS

editing

proposed

#12 by G. C. Greubel at Mon Sep 02 21:39:33 EDT 2019

DATA

0, 0, 0, 0, 1, 0, 0, 3, 2, 0, 0, 6, 6, 3, 0, 0, 10, 12, 9, 4, 0, 0, 15, 20, 18, 12, 5, 0, 0, 21, 30, 30, 24, 15, 6, 0, 0, 28, 42, 45, 40, 30, 18, 7, 0, 0, 36, 56, 63, 60, 50, 36, 21, 8, 0, 0, 45, 72, 84, 84, 75, 60, 42, 24, 9, 0, 0, 55, 90, 108, 112, 105, 90, 70, 48, 27, 10, 0, 0, 66

LINKS

G. C. Greubel, <a href="/A062707/b062707.txt">Antidiagonals n = 0..100, flattened</a>

MAPLE

seq(seq(k*binomial(n-k+1, 2), k=0..n), n=0..12); # G. C. Greubel, Sep 02 2019

MATHEMATICA

Table[k*Binomial[n-k+1, 2], {n, 0, 12}, {k, 0, n}]//Flatten (* G. C. Greubel, Sep 02 2019 *)

PROG

(PARI) T(n, k) = k*binomial(n-k+1, 2);

for(n=0, 12, for(k=0, n, print1(T(n, k), ", "))) \\ G. C. Greubel, Sep 02 2019

(MAGMA) [k*Binomial(n-k+1, 2): k in [0..n], n in [0..12]]; // G. C. Greubel, Sep 02 2019

(Sage) [[k*binomial(n-k+1, 2) for k in (0..n)] for n in (0..12)] # G. C. Greubel, Sep 02 2019

(GAP) Flat(List([0..12], n-> List([0..n], k-> k*Binomial(n-k+1, 2)))); # G. C. Greubel, Sep 02 2019

STATUS

approved

editing

#11 by Joerg Arndt at Tue Dec 08 08:51:45 EST 2015

STATUS

proposed

approved

#10 by Michel Marcus at Tue Dec 08 06:33:30 EST 2015

STATUS

editing

proposed

#9 by Michel Marcus at Tue Dec 08 06:33:23 EST 2015

NAME

Table by antidiagonals of nkn*k*(k+1)/2.

FORMULA

T(n, k) = T(n, 1)*T(1, k) = A001477(n)*A000217(k) = A057145(n+2, k+1)-(k+1).

T(n, k) = A057145(n+2, k+1)-(k+1).

Discussion

Tue Dec 08

06:33

Michel Marcus: ok ?

#8 by Michel Marcus at Tue Dec 08 06:32:09 EST 2015

FORMULA

T(n, k) = T(n, 1)*T(1, k) = A001477(n)*A000217(k) = A057145(n+2, k+1)-(k+1).

STATUS

reviewed

editing

#7 by R. J. Mathar at Tue Dec 08 06:25:40 EST 2015

STATUS

proposed

reviewed