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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A339757 a(n) is the number of Zuckerman numbers k for which k/A007954(k) = n, where A007954(k) is the product of the decimal digits of k.

Original entry on oeis.org

9, 1, 2, 1, 1, 1, 1, 2, 3, 0, 1, 2, 3, 1, 0, 0, 1, 3, 2, 0, 1, 2, 3, 0, 0, 0, 1, 2, 2, 0
Offset: 1

Views

Author

Michel Marcus, Apr 04 2021

Keywords

Comments

The indices of 0's are A342593.

Examples

			The integers k=1 to 9 are the Zuckerman numbers that satisfy k/A007954(k)=1, so a(1)=9.

Crossrefs

Cf. A007954 (product of decimal digits), A007602 (Zuckerman numbers), A056770.
Cf. A288069 (Zuckerman quotients), A342593 (Zuckerman non-quotients).
Cf. A343036, A343050.

A343050 Zuckerman numbers (A007602) ordered by increasing value of k/A007954(k) where A007954(k) is the product of the decimal digits of k.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 36, 15, 24, 384, 175, 12, 735, 128, 672, 135, 144, 1575, 11, 1296, 139968, 624, 3276, 1886976, 224, 816, 216, 432, 34992, 1197, 12768, 315, 132, 3168, 115, 6624, 8832, 2916, 1176, 1344, 3915, 739935
Offset: 1

Views

Author

Michel Marcus, Apr 03 2021

Keywords

Comments

a(n) is the Zuckerman number corresponding to A343036(n).

Examples

			As a table, sequence begins:
   1 [1, 2, 3, 4, 5, 6, 7, 8, 9]
   2 [36]
   3 [15, 24]
   4 [384]
   5 [175]
   6 [12]
   7 [735]
   8 [128, 672]
   9 [135, 144, 1575]
  10 []
  11 [11]
  12 [1296, 139968]
  13 [624, 3276, 1886976]
  14 [224]
  15 []
  16 []
  17 [816]
  18 [216, 432, 34992]
  19 [1197, 12768]
  20 []
  21 [315]
  22 [132, 3168]
  23 [115, 6624, 8832]
  24 []
  25 []
  26 []
  27 [2916]
  28 [1176, 1344]
  29 [3915, 739935]
  30 []
  ... where the 1st column is A056770 and the number of terms per rows is A339757.

Crossrefs

Cf. A007954 (product of decimal digits), A007602 (Zuckerman numbers), A056770.
Cf. A288069 (Zuckerman quotients), A342593 (Zuckerman non-quotients), A343036.
Cf. A339757.

Extensions

a(29)-a(45) from David A. Corneth, Apr 03 2021
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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