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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, 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 (list; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,easy,tabf
AUTHOR
M. F. Hasler, Jan 20 2014
STATUS
approved

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Last modified August 18 20:50 EDT 2024. Contains 375284 sequences. (Running on oeis4.)