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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. 2
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..65.

EXAMPLE

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

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

PROG

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

CROSSREFS

Cf. A002064.

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

Sequence in context: A085203 A251104 A199334 * A235669 A118088 A298211

Adjacent sequences:  A278907 A278908 A278909 * A278911 A278912 A278913

KEYWORD

nonn,tabl,easy

AUTHOR

Juri-Stepan Gerasimov, Nov 30 2016

STATUS

approved

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Last modified October 13 23:43 EDT 2019. Contains 327983 sequences. (Running on oeis4.)