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A109436 Triangle of numbers: row n gives the elements along the subdiagonal of A109435 that connects 2^n with (n+2)*2^(n-1). 2
0, 0, 1, 1, 2, 3, 4, 7, 8, 8, 15, 19, 20, 16, 31, 43, 47, 48, 32, 63, 94, 107, 111, 112, 64, 127, 201, 238, 251, 255, 256, 128, 255, 423, 520, 558, 571, 575, 576, 256, 511, 880, 1121, 1224, 1262, 1275, 1279, 1280, 512, 1023, 1815, 2391, 2656, 2760, 2798, 2811 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

In the limit of row number n->infinity, the differences of the n-th row of the table, read from right to left, are 1, 4, 13, 38, 104,... = A084851.

LINKS

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

EXAMPLE

The triangle A109435 begins

1;

2, 1;

4, 3, 1;

8, 7, 3, 1;

16, 15, 8, 3, 1;

32, 31, 19, 8, 3, 1;

64, 63, 43, 20, 8, 3, 1;

128, 127, 94, 47, 20, 8, 3, 1;

If we read this triangle starting at 2^n in its first column along its n-th sub-diagonal up to the first occurrence of (n+2)*2^(n-1), we get row n of the current triangle, which begins:

0, 0;

1, 1;

2, 3;

4, 7, 8;

8, 15, 19, 20;

16, 31, 43, 47, 48;

32, 63, 94, 107, 111, 112;

MATHEMATICA

T[n_, m_] := Length[ Select[ StringPosition[ #, StringDrop[ ToString[10^m], 1]] & /@ Table[ ToString[ FromDigits[ IntegerDigits[i, 2]]], {i, 2^n, 2^(n + 1) - 1}], # != {} &]]; Flatten[ Table[ T[n + i, i], {n, 0, 9}, {i, 0, n}]]

CROSSREFS

Cf. A109435, A001792, A109434, A084851.

Sequence in context: A054424 A297164 A207800 * A177045 A241783 A039254

Adjacent sequences: A109433 A109434 A109435 * A109437 A109438 A109439

KEYWORD

base,nonn,tabf

AUTHOR

Robert G. Wilson v, Jun 28 2005

EXTENSIONS

Edited by R. J. Mathar, Nov 17 2009

STATUS

approved

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Last modified December 10 02:09 EST 2022. Contains 358712 sequences. (Running on oeis4.)