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Search: id:A082043
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A082043 A symmetric square array of numbers, read by antidiagonals. +0
6
1, 1, 1, 1, 4, 1, 1, 9, 9, 1, 1, 16, 25, 16, 1, 1, 25, 49, 49, 25, 1, 1, 36, 81, 100, 81, 36, 1, 1, 49, 121, 169, 169, 121, 49, 1, 1, 64, 169, 256, 289, 256, 169, 64, 1, 1, 81, 225, 361, 441, 441, 361, 225, 81, 1, 1, 100, 289, 484, 625, 676, 625, 484, 289, 100, 1, 1, 121, 361, 625 (list; table; graph; listen)
OFFSET

0,5

FORMULA

Square array defined by T(n, k)=(k^2n^2+2kn+1)

EXAMPLE

Rows start

1 1 1 1 1 ...

1 4 9 16 25 ...

1 9 25 49 81 ...

1 16 49 100 169 ...

1 25 81 169 256 ...

CROSSREFS

Rows include A000290, A016754, A016778, A016814, A016862, A016922, A016994. Main diagonal is A082044. Other diagonals include A058031, A000583, A062938. Diagonal sums (row sums if viewed as number triangle) are A082045.

Cf. A082039, A082046, A082105.

Adjacent sequences: A082040 A082041 A082042 this_sequence A082044 A082045 A082046

Sequence in context: A110511 A082950 A060102 this_sequence A124216 A008459 A039756

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 03 2003

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Last modified October 9 14:06 EDT 2008. Contains 144831 sequences.


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