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A052474 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 main diagonal. +0
9
1, 2, 4, 7, 12, 13, 14, 15, 16, 18, 20, 21, 22, 23, 32, 35, 36, 39, 42, 48, 49, 50, 51, 53, 54, 57, 58, 59, 61, 62, 64, 66, 68, 76, 77, 78, 80, 82, 86, 87, 89, 91, 92, 93, 98, 103, 109, 110, 118, 124, 127, 128, 129, 132, 133, 135, 136, 139, 140, 141, 142, 143, 149 (list; 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), A057154 (numbers not used), A056230 (array), A056231, A056232, A056233, A056234.

Sequence in context: A153555 A058103 A097592 this_sequence A033054 A049631 A084672

Adjacent sequences: A052471 A052472 A052473 this_sequence A052475 A052476 A052477

KEYWORD

nice,nonn,easy

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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