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A056230 Construct difference array so that (1) first row begins with 1, (2) every row is monotonic increasing, (3) no number appears more than once, (4) smallest number not yet used begins a new row. Sequence gives array read by antidiagonals. +0
8
1, 2, 3, 4, 6, 9, 7, 11, 17, 26, 12, 19, 30, 47, 73, 13, 25, 44, 74, 121, 194, 14, 27, 52, 96, 170, 291, 485, 15, 29, 56, 108, 204, 374, 665, 1150, 16, 31, 60, 116, 224, 428, 802, 1467, 2617, 18, 34, 65, 125, 241, 465, 893, 1695, 3162, 5779, 20, 38, 72, 137, 262 (list; table; graph; listen)
OFFSET

1,2

EXAMPLE

Array begins

1 3 9 26 73 194 ...

.2 6 17 47 121 ...

. 4 11 30 74 ...

.. 7 19 44 ...

... 12 25 ...

.... 13 ...

CROSSREFS

Cf. A057153 (first row), A052474 (main diagonal), A057154 (numbers not used), A056231, A056232, A056233, A056234.

Sequence in context: A159849 A098168 A035312 this_sequence A119919 A036561 A082976

Adjacent sequences: A056227 A056228 A056229 this_sequence A056231 A056232 A056233

KEYWORD

nice,nonn,easy,tabl

AUTHOR

Jonas Wallgren (jonwa(AT)ida.liu.se), Jul 30, 2000.

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Last modified December 1 13:27 EST 2009. Contains 167806 sequences.


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