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Search: id:A109434
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| A109434 |
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Irregular triangle read by rows: row n contains the numbers from 2^n up to (n+3)*2^(n-2), inclusive, read along their common sub-diagonal of A109433. |
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+0
3
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| 0, 0, 1, 1, 2, 2, 4, 5, 8, 11, 12, 16, 24, 27, 28, 32, 51, 60, 63, 64, 64, 107, 131, 140, 143, 144, 128, 222, 282, 307, 316, 319, 320, 256, 457, 601, 666, 691, 700, 703, 704, 512, 935, 1270, 1432, 1498, 1523, 1532, 1535, 1536, 1024, 1904, 2665, 3057, 3224, 3290
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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Evolution of 2^n into 2^(n-2)(n+3) as exhibited by A109433.
The forward differences of the last row of the table approache A058396.
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EXAMPLE
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Triangle begins
0 0
1 1
2 2
4 5
8 11 12
16 24 27 28
32 51 60 63 64
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MATHEMATICA
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T[n_, m_] := Length[ Select[ StringPosition[ #, ToString[(10^m - 1)/9]] & /@ Table[ ToString[ FromDigits[ IntegerDigits[i, 2]]], {i, 2^n, 2^(n + 1) - 1}], # != {} &]]; Join[{0, 0, 1, 1, 2}, Flatten[ Table[ T[n + i, i], {n, 0, 9}, {i, n + 1}]]]
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CROSSREFS
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Cf. A109433, A109436.
Sequence in context: A027193 A126796 A157162 this_sequence A089299 A017910 A013979
Adjacent sequences: A109431 A109432 A109433 this_sequence A109435 A109436 A109437
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KEYWORD
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base,nonn,tabf
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 28 2005
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EXTENSIONS
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New definition from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 27 2007
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