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A344008 Triangle of numerators corresponding to A344007. 1
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 3, 1, 3, 1, 2, 1, 1, 1, 1, 3, 1, 3, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 2, 1, 4, 1, 1, 3, 1, 1, 1, 3, 1, 1, 2, 1, 4, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,11

LINKS

Table of n, a(n) for n=1..91.

EXAMPLE

The triangle underlying A344007 begins:

  1

  1/2,   1/2

  1/6,   1/3,   1/2

  1/6,   1/4,   1/4,   1/3

  2/15,  1/6,   1/5,   1/4,   1/4

  1/12,  2/15,  1/6,   1/6,   1/5,   1/4

  1/12,  3/28,  2/15,  1/7,   1/6,   1/6,   1/5

  3/40,  1/12,  3/28,  1/8,   2/15,  1/7,   1/6,   1/6

  1/18,  3/40,  1/12,  3/28,  1/9,   1/8,   2/15,  1/7,  1/6

  1/18,  1/15,  3/40,  1/12,  1/10,  3/28,  1/9,   1/8,  2/15,  1/7

  ...

The numerators are:

  1

  1, 1

  1, 1, 1

  1, 1, 1, 1

  2, 1, 1, 1, 1

  1, 2, 1, 1, 1, 1

  1, 3, 2, 1, 1, 1, 1

  3, 1, 3, 1, 2, 1, 1, 1

  1, 3, 1, 3, 1, 1, 2, 1, 1

  1, 1, 3, 1, 1, 3, 1, 1, 2, 1

  ...

PROG

(PARI) lista(nn) = {my(row, nrow, drow); for (n=1, nn, if (n==1, row = [1], k = vecmax(row); nrow = row; nrow[n-1] = 1/n; nrow = concat(nrow, k - 1/n); row = vecsort(nrow); ); drow = apply(numerator, row); for (k=1, #drow, print1(drow[k], ", ")); ); } \\ Michel Marcus, Jun 09 2021

CROSSREFS

Cf. A003506, A344007.

Sequence in context: A334924 A211111 A074971 * A198067 A282749 A132587

Adjacent sequences:  A344005 A344006 A344007 * A344009 A344010 A344011

KEYWORD

nonn,tabl

AUTHOR

Evan Lee, Jun 09 2021

EXTENSIONS

Corrected by Hugo Pfoertner and Michel Marcus, Jun 09 2021

STATUS

approved

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Last modified September 25 12:38 EDT 2021. Contains 347654 sequences. (Running on oeis4.)