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A180339 Triangle by rows, A137710 * a diagonalized variant of A001906 3
1, 2, 1, 4, 1, 3, 8, 2, 3, 8, 16, 4, 6, 8, 21, 32, 8, 12, 16, 21, 55, 64, 16, 24, 32, 42, 55, 144, 128, 32, 48, 64, 84, 110, 144, 377, 256, 64, 96, 128, 168, 220, 288, 377, 987 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums = the even indexed Fibonacci numbers starting (1, 3, 8, 21,...).

Triangle A180339 has (1, 2, 4, 8, 16,...) as the left border with all other

columns = (1, 1, 2, 4, 8, 16,...). The eigensequence of triangle A180339 =

the odd indexed Fibonacci numbers: (1, 3, 8, 21, 55,...).

Row sums of n-th row = rightmost term of next row.

LINKS

Table of n, a(n) for n=0..44.

FORMULA

Let triangle A137710 = M as an infinite lower triangular matrix, with Q =

a diagonalized variant of A001906 (1, 1, 3, 8, 21, 55,... as the main diagonal

and the rest zeros). Triangle A180339 = M*Q.

EXAMPLE

First few rows of the triangle =

1;

2, 1;

4, 1, 3;

8, 2, 3, 8;

16, 4, 6, 8, 21;

32, 8, 12, 16, 21, 55;

64, 16, 24, 32, 42, 55, 144;

128, 32, 48, 64, 84, 110, 144, 377;

256, 64, 96, 128, 168, 220, 288, 377, 987;

512, 128, 192, 256, 336, 440, 576, 754, 987, 2584;

...

CROSSREFS

Cf. A137710, A001906

Sequence in context: A078072 A049776 A286235 * A079276 A210445 A126210

Adjacent sequences:  A180336 A180337 A180338 * A180340 A180341 A180342

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Aug 28 2010

STATUS

approved

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Last modified February 21 14:40 EST 2018. Contains 299414 sequences. (Running on oeis4.)