A232088 Table read by rows: Replace last term of the n-th row with 1,1,2,4,...,2^n to get the next row.

1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 8, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 4, 8, 16, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 4, 8, 1, 1, 2, 4, 8, 16, 32, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 4, 8, 1, 1, 2, 4, 8, 16, 1, 1, 2, 4, 8, 16, 32, 64

Offset: 0

Author

M. F. Hasler, Jan 20 2014

Keywords

• nonn
• easy
• tabf

Comments

Suggested (without definition) by A. Groeneveld in reply to a question on the SeqFan list.

The "limiting row" is given by A232089.

The diagonal T(i, i) also tends to A232089. - Michel Marcus, Dec 22 2014

Examples

			The table goes like:
(row n=0) 1
(row n=1) 1, 1
(row n=2) 1, 1, 1, 2
(row n=3) 1, 1, 1, 1, 1, 2, 4
(row n=4) 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 8
(row n=5) 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 4, 8, 16
		

Links

• A. Groeneveld, Re: guess the relation, SeqFan mailing list, Jan. 2014.

Crossrefs

Row lengths are A000124(n)=n(n+1)/2+1.

Programs

PARI

list_A232088(nRows,a=[1])=for(i=1,nRows,print(a);a[#a]=vector(i+1,j,max(2^(j-2),1));a=concat(a));a