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A121490 Rectangular array T by antidiagonals: T(n,k) = [y+1]^2-y^2, where y=n*sqrt(k) and [ ] denotes the floor function. +0
2
3, 2, 5, 1, 1, 7, 5, 4, 7, 9, 4, 9, 9, 4, 11, 3, 5, 13, 1, 14, 13, 2, 1, 4, 17, 6, 9, 15, 1, 8, 10, 1, 21, 13, 2, 17, 7, 4, 1, 4, 19, 25, 22, 16, 19, 6, 13, 9, 9, 19, 16, 29, 4, 7, 21, 5, 9, 19, 16, 21, 9, 11, 33, 13, 25, 23, 4, 5, 10, 25, 25, 4, 30, 4, 37, 24, 14, 25, 3, 1, 1, 9, 31, 1, 18, 16 (list; table; graph; listen)
OFFSET

1,1

COMMENT

(Row 1)=A080883; (Column 1)=A005408 except for initial term; (Column 2)=A087059; (Column 3)=A120865; (Column 4)=A016813 except for initial term; (Column 5)=A120867; Columns 1,4,9,16,25,... are arithmetic sequences; (Main diagonal)=A121489.

FORMULA

T(n,k) = [y+1]^2-y^2

EXAMPLE

Northwest corner:

3 2 1 5 4

5 1 4 9 5

7 7 9 13 4

9 4 1 17 1

CROSSREFS

Sequence in context: A083254 A068453 A111986 this_sequence A099643 A113260 A051543

Adjacent sequences: A121487 A121488 A121489 this_sequence A121491 A121492 A121493

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Aug 02 2006

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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