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A245300 Triangle read by rows: T(n,k) = (n+k)*(n+k+1)/2 + k, 0 <= k <= n. 5
0, 1, 4, 3, 7, 12, 6, 11, 17, 24, 10, 16, 23, 31, 40, 15, 22, 30, 39, 49, 60, 21, 29, 38, 48, 59, 71, 84, 28, 37, 47, 58, 70, 83, 97, 112, 36, 46, 57, 69, 82, 96, 111, 127, 144, 45, 56, 68, 81, 95, 110, 126, 143, 161, 180, 55, 67, 80, 94, 109, 125, 142, 160 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

T(n,0) = A000217(n);

T(n,n) = A046092(n);

central terms: T(2*n,n) = A062725(n);

sum of row n = A245301(n).

LINKS

Reinhard Zumkeller, Rows n = 0..125 of triangle, flattened

EXAMPLE

First rows and their row sums (A245301):

.   0:   0                                                      0

.   1:   1, 4                                                   5

.   2:   3, 7, 12                                              22

.   3:   6,11, 17, 24                                          58

.   4:  10,16, 23, 31, 40                                     120

.   5:  15,22, 30, 39, 49, 60                                 215

.   6:  21,29, 38, 48, 59, 71, 84                             350

.   7:  28,37, 47, 58, 70, 83, 97,112                         532

.   8:  36,46, 57, 69, 82, 96,111,127,144                     768

.   9:  45,56, 68, 81, 95,110,126,143,161,180                1065

.  10:  55,67, 80, 94,109,125,142,160,179,199,220            1430

.  11:  66,79, 93,108,124,141,159,178,198,219,241,264        1870

.  12:  78,92,107,123,140,158,177,197,218,240,263,287,312    2392 .

PROG

(Haskell)

a245300 n k = (n + k) * (n + k + 1) `div` 2 + k

a245300_row n = map (a245300 n) [0..n]

a245300_tabl = map a245300_row [0..]

a245300_list = concat a245300_tabl

CROSSREFS

Cf. A000217, A046092, A062725, A245301.

Sequence in context: A010654 A244335 A275818 * A228949 A048227 A213661

Adjacent sequences:  A245297 A245298 A245299 * A245301 A245302 A245303

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Jul 17 2014

STATUS

approved

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Last modified October 17 22:48 EDT 2018. Contains 316297 sequences. (Running on oeis4.)