cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-4 of 4 results.

A037261 First differences of A037260.

Original entry on oeis.org

2, 6, 17, 36, 65, 106, 160, 228, 311, 410, 527, 664, 822, 1002, 1205, 1432, 1684, 1963, 2270, 2607, 2975, 3375, 3808, 4275, 4777, 5316, 5893, 6509, 7165, 7863, 8604, 9389, 10219, 11095, 12018, 12989, 14009, 15079, 16200, 17373, 18599, 19880, 21217
Offset: 0

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More terms from Larry Reeves (larryr(AT)acm.org), Sep 25 2000

A037262 Second differences of A037260.

Original entry on oeis.org

4, 11, 19, 29, 41, 54, 68, 83, 99, 117, 137, 158, 180, 203, 227, 252, 279, 307, 337, 368, 400, 433, 467, 502, 539, 577, 616, 656, 698, 741, 785, 830, 876, 923, 971, 1020, 1070, 1121, 1173, 1226, 1281, 1337, 1394, 1452, 1511, 1571, 1632, 1695, 1759, 1825, 1892
Offset: 0

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More terms from Larry Reeves (larryr(AT)acm.org), Sep 25 2000

A037263 Third differences of A037260.

Original entry on oeis.org

7, 8, 10, 12, 13, 14, 15, 16, 18, 20, 21, 22, 23, 24, 25, 27, 28, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 63, 64, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89
Offset: 0

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More terms from Larry Reeves (larryr(AT)acm.org), Sep 25 2000

A057153 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 first row of array.

Original entry on oeis.org

1, 3, 9, 26, 73, 194, 485, 1150, 2617, 5779, 12497, 26653, 56355, 118545, 248605, 520365, 1087853, 2272770, 4748677, 9930475, 20800122, 43658310, 91836751, 193549010, 408449129, 862455193, 1820771343, 3840569196, 8089327515
Offset: 1

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Author

Jonas Wallgren, Jul 30 2000

Keywords

Comments

This is the limit of the family of sequences starting with A005228, A037257, A037260. Adjoin next free number as the first element in a new level of differences unless it would produce a duplicate in which case ignore.

Examples

			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. A057154 (numbers not used), A052474 (main diagonal), A056230 (array). See also A005228, A037257, A037260, A057267, A056231, A056232, A056233, A056234.
Cf. A133544.
Cf. A200379 (first differences).

Programs

Formula

Row sums of triangle A133544. - Gary W. Adamson, Sep 14 2007

Extensions

More terms from Rob Speer (rob(AT)twcny.rr.com) and Loren Merritt, Aug 14 2000
Showing 1-4 of 4 results.