A109434 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 subdiagonal of A109433.

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

Offset

0,5

Comments

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.

Links

Table of n, a(n) for n=0..55.

Example

Triangle begins
   0  0
   1  1
   2  2
   4  5
   8 11 12
  16 24 27 28
  32 51 60 63 64

Mathematica

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}]]]

Crossrefs

Cf. A109433, A109436.

Sequence in context: A206138 A241545 A157162 * A371840 A089299 A017910

Adjacent sequences: A109431 A109432 A109433 * A109435 A109436 A109437

Keyword

base,nonn,tabf

Author

Robert G. Wilson v, Jun 28 2005

Extensions

New definition from R. J. Mathar, Nov 27 2007

Status

approved