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A094415 Triangle T read by rows: dot product <r,r-1,...,1> * <s+1,s+2,...,r,1,2,...,s>. +0
10
1, 4, 5, 10, 13, 13, 20, 26, 28, 26, 35, 45, 50, 50, 45, 56, 71, 80, 83, 80, 71, 84, 105, 119, 126, 126, 119, 105, 120, 148, 168, 180, 184, 180, 168, 148, 165, 201, 228, 246, 255, 255, 246, 228, 201, 220, 265, 300, 325, 340, 345, 340, 325, 300, 265, 286, 341 (list; table; graph; listen)
OFFSET

0,2

FORMULA

T(r, s) = r[r^2 + 3r(1+s) + 2 - 3s^2], r>0, 0<=s<=r.

EXAMPLE

1

4 5

10 13 13

20 26 28 26

35 45 50 50 45

56 71 80 83 80 71

CROSSREFS

Columns 0-6 are A000292, A008778, A026054, A026057, A026060, A026063, A026066. Half-diagonal is A050410, row sums are A000537. See also A094414, A088003.

Sequence in context: A151735 A050039 A058335 this_sequence A114517 A116930 A073119

Adjacent sequences: A094412 A094413 A094414 this_sequence A094416 A094417 A094418

KEYWORD

nonn,tabl

AUTHOR

Ralf Stephan, May 02 2004

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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