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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.

Sequence in context: A082950 A060102 A152237 this_sequence A124216 A008459 A157192

Adjacent sequences: A082040 A082041 A082042 this_sequence A082044 A082045 A082046

KEYWORD

easy,nonn,tabl

AUTHOR

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

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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