The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A278910 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A278910

Triangle of order m: C(n,k) = k*(n-k+1)^(k+m)+n-k, 0 <= k <= n, m = 0, read by rows.
(history; published version)

#13 by Charles R Greathouse IV at Thu Sep 08 08:46:18 EDT 2022

PROG

(MAGMAMagma) /* As triangle */ [[k*(n-k+1)^k+n-k: k in [0..n]]: n in [0..10]];

Discussion

Thu Sep 08

08:46

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

#12 by Bruno Berselli at Fri Dec 02 06:44:09 EST 2016

STATUS

proposed

approved

#11 by R. J. Mathar at Fri Dec 02 06:24:14 EST 2016

STATUS

editing

proposed

#10 by R. J. Mathar at Fri Dec 02 06:23:58 EST 2016

OFFSET

1,0,4

MAPLE

A278910 := proc(n, k)

k*(n-k+1)^k+n-k ;

end proc:

seq(seq(A278910(n, k), k=0..n), n=0..10) ; # R. J. Mathar, Dec 02 2016

STATUS

proposed

editing

#9 by R. J. Mathar at Fri Dec 02 04:52:55 EST 2016

STATUS

editing

proposed

#8 by R. J. Mathar at Fri Dec 02 04:52:51 EST 2016

NAME

Cullen's triangle Triangle of order m: C(n,k) = k*(n-k+1)^(k+m)+n-k, 0 <= k <= n, m = 0, read by rows.

EXAMPLE

0; 1,1; 2,3,2; 3,5,9,3; 4,7,20,25,4; 5, 9, 35, 83, 65, 5; ...

CROSSREFS

Cf. A001477, A002064, A005408.

Cf. Cullen's triangles Triangles of order m: A003056 (m = -k), A059036 (m = 1-k).

KEYWORD

nonn,tabl,easy,new

STATUS

approved

editing

#7 by N. J. A. Sloane at Wed Nov 30 20:47:32 EST 2016

STATUS

proposed

approved

#6 by Juri-Stepan Gerasimov at Wed Nov 30 16:42:52 EST 2016

STATUS

editing

proposed

#5 by Juri-Stepan Gerasimov at Wed Nov 30 16:41:43 EST 2016

EXAMPLE

5 11 77 653 5189 38885 0 ],

[ 1, 1 ],

[ 2, 3, 2 ],

[ 3, 5, 9, 3 ],

[ 4, 7, 20, 25, 4 ],

[ 5, 9, 35, 83, 65, 5 ],

[ 6, 11, 54, 195, 326, 161, 6 ],

[ 7, 13, 77, 379, 1027, 1217, 385, 7 ],

[ 8, 15, 104, 653, 2504, 5123, 4376, 897, 8 ],

[ 9, 17, 135, 1035, 5189, 15629, 24579, 15311, 2049, 9 ],

[ 10, 19, 170, 1543, 9610, 38885, 93754, 114691, 52490, 4609, 10 ]

CROSSREFS

Cf. A001477, A002064, A005408.

#4 by Juri-Stepan Gerasimov at Wed Nov 30 16:17:51 EST 2016

EXAMPLE

0 ],; 1,1; 2,3,2; 3,5,9,3; 4,7,20,25,4; 5, 9, 35, 83, 65, 5; ...

As an infinite triangular array:

0

1 1

2 3 2

3 5 9 3

4 7 20 25 4

5 9 35 83 65 5

As an infinite square array (matrix):

0 1 2 3 4 5

1 3 9 25 65 161

2 5 20 83 326 1217

3 7 35 195 1027 5123

4 9 54 379 2504 15629

5 11 77 653 5189 38885 0 ],