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A137710 Triangle read by rows: T(n,k) = T(n-1, k-1) - T(n-k, k-1); left border = (1, 2, 4, 8, 16, 32,...). 4
1, 2, 1, 4, 1, 1, 8, 2, 1, 1, 16, 4, 2, 1, 1, 32, 8, 3, 2, 1, 1, 64, 16, 6, 2, 2, 1, 1, 64, 16, 6, 2, 2, 1, 1, 128, 32, 12, 5, 2, 2, 1, 1, 256, 64, 24, 10, 4, 2, 2, 1, 1, 512, 128, 48, 21, 9, 4, 2, 2, 1, 1, 1024, 256, 96, 42, 19, 18, 4, 2, 2, 1, 1, 2048, 512, 192, 84, 40, 18, 18, 4, 2, 2, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row sums = A137711: (1, 3, 6, 12, 24, 47, 92, 183,...).

Contribution from Gary W. Adamson, Aug 28 2010: (Start)

Eigensequence of the triangle = even indexed Fibonacci numbers starting

(1, 3, 8, 21, 55,...). Cf. triangle A180339 (End)

LINKS

Table of n, a(n) for n=1..85.

FORMULA

The triangle is generated by two rules: T(n,k) = T(n-1, k-1) - T(n-k, k-1); and left border = 1, 2, 4, 8, 16,...

EXAMPLE

First few rows of the triangle are:

1;

2, 1;

4, 1, 1;

8, 2, 1, 1;

16, 4, 2, 1, 1;

32, 8, 3, 2, 1, 1;

64, 16, 6, 2, 2, 1, 1;

128, 32, 12, 5, 2, 2, 1, 1;

256, 64, 24, 10, 4, 2, 2, 1, 1;

512, 128, 48, 21, 9, 4, 2, 2, 1, 1;

...

CROSSREFS

Cf. A137711.

Cf. A180339 [From Gary W. Adamson, Aug 28 2010]

Sequence in context: A283826 A088443 A117352 * A068009 A140168 A059119

Adjacent sequences:  A137707 A137708 A137709 * A137711 A137712 A137713

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Feb 08 2008

STATUS

approved

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Last modified October 19 07:21 EDT 2018. Contains 316337 sequences. (Running on oeis4.)