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A084061 Square number array read by antidiagonals. +0
7
1, 1, 1, 1, 1, 4, 1, 1, 5, 27, 1, 1, 6, 36, 256, 1, 1, 7, 45, 353, 3125, 1, 1, 8, 54, 452, 4400, 46656, 1, 1, 9, 63, 553, 5725, 66637, 823543, 1, 1, 10, 72, 656, 7100, 87704, 1188544, 16777216, 1, 1, 11, 81, 761, 8525, 109863, 1577849, 24405761, 387420489, 1, 1, 12 (list; table; graph; listen)
OFFSET

0,6

COMMENT

Rows include A000312, A062024, A084063, A084064, A084065. Diagonals include A084062, A084063, A084095.

FORMULA

T(n, k)=(n-sqrt(k))^n/2+(n+sqrt(k))^n/2

EXAMPLE

Rows begin

1 1 4 27 256 ...

1 1 5 36 353 ...

1 1 6 45 452 ...

1 1 7 54 553 ...

1 1 8 63 656 ...

CROSSREFS

Sequence in context: A136489 A131239 A114033 this_sequence A140262 A049702 A132046

Adjacent sequences: A084058 A084059 A084060 this_sequence A084062 A084063 A084064

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 11 2003

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.


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