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A082043 A symmetric square array of numbers, read by antidiagonals. 5
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; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..69.

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: A199065 A152237 A176282 * A177944 A174006 A124216

Adjacent sequences:  A082040 A082041 A082042 * A082044 A082045 A082046

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Apr 03 2003

STATUS

approved

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Last modified July 13 16:22 EDT 2020. Contains 335688 sequences. (Running on oeis4.)