

A104765


Triangle T(n,k) read by rows: row n contains the first n Lucas numbers A000204.


5



1, 1, 3, 1, 3, 4, 1, 3, 4, 7, 1, 3, 4, 7, 11, 1, 3, 4, 7, 11, 18, 1, 3, 4, 7, 11, 18, 29, 1, 3, 4, 7, 11, 18, 29, 47, 1, 3, 4, 7, 11, 18, 29, 47, 76, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 1, 3, 4, 7, 11
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OFFSET

1,3


COMMENTS

Reading rows from the right to the left yields A104764.
Sequence B is called a reluctant sequence of sequence A, if B is triangle array read by rows: row number k coincides with first k elements of the sequence A. Sequence A104765 is the reluctant sequence of A000204.  Boris Putievskiy, Dec 14 2012


LINKS



FORMULA



EXAMPLE

First few rows of the triangle are:
1;
1, 3;
1, 3, 4;
1, 3, 4, 7;
1, 3, 4, 7, 11;
1, 3, 4, 7, 11, 18;
...


MATHEMATICA

Table[LucasL[k], {n, 1, 10}, {k, 1, n}] // Flatten (* G. C. Greubel, Dec 21 2017 *)


PROG

(PARI) for(n=1, 10, for(k=1, n, print1(fibonacci(k+1) + fibonacci(k1), ", "))) \\ G. C. Greubel, Dec 21 2017


CROSSREFS



KEYWORD



AUTHOR



EXTENSIONS



STATUS

approved



