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

0,7

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

Links

Table of n, a(n) for n=0..91.

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

Example

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

Prog

(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

Crossrefs

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

Sequence in context: A373125 A357139 A046214 * A115413 A292435 A319094

Adjacent sequences: A232085 A232086 A232087 * A232089 A232090 A232091

Keyword

nonn,easy,tabf

Author

M. F. Hasler, Jan 20 2014

Status

approved