A343043 a(n) = A343042(n, n).

0, 1, 6, 9, 12, 15, 120, 127, 150, 153, 156, 159, 240, 247, 270, 273, 300, 303, 360, 367, 390, 393, 420, 423, 5040, 5065, 5166, 5193, 5172, 5199, 5880, 5911, 5910, 5913, 5916, 5919, 6000, 6031, 6030, 6033, 6060, 6063, 6120, 6151, 6150, 6153, 6180, 6183, 10080

Offset

0,3

Comments

This sequence has similarities with A087019 and A343047.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..5039

Rémy Sigrist, PARI program for A343043

Index entries for sequences related to dismal (or lunar) arithmetic

Index entries for sequences related to factorial base representation

Formula

a(k!) = (2*k-1)! for any k > 0.

a(A007489(k)) = A007489(2*k-1) for any k > 0.

Example

For n = 42:
- the factorial base representation of 42 is "1300", so:
              1 3 0 0
            x 1 3 0 0
            ---------
              0 0 0 0
            0 0 0 0
          1 3 0 0
      + 1 1 0 0
      ---------------
        1 1 3 0 0 0 0
- hence a(42) = 7! + 6! + 3*5! = 6120.

Prog

(PARI) See Links section.

Crossrefs

Cf. A007489, A087019, A343042, A343047.

Sequence in context: A297667 A315955 A315956 * A343047 A023040 A001474

Adjacent sequences: A343040 A343041 A343042 * A343044 A343045 A343046

Keyword

nonn,base

Author

Rémy Sigrist, Apr 05 2021

Status

approved