A325645 "Sloping quinary numbers": write numbers in quinary under each other (right-justified), read diagonals in upward direction, convert to decimal.

0, 1, 2, 3, 9, 5, 6, 7, 8, 14, 10, 11, 12, 13, 19, 15, 16, 17, 18, 24, 20, 21, 22, 48, 29, 25, 26, 27, 28, 34, 30, 31, 32, 33, 39, 35, 36, 37, 38, 44, 40, 41, 42, 43, 49, 45, 46, 47, 73, 54, 50, 51, 52, 53, 59, 55, 56, 57, 58, 64, 60, 61, 62, 63, 69, 65, 66, 67, 68, 74, 70, 71

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Wikipedia, Quinary

Prog

(Ruby)
def A(m, n)
  ary = [0]
  n.times{|i|
    (m ** i - i..m ** (i + 1) - i - 2).each{|j|
      ary << (0..i).inject(0){|s, k| s + (j + k).to_s(m)[-1 - k].to_i * m ** k}
    }
  }
  ary
end
p A(5, 3)

Crossrefs

Cf. A102370 (base 2), A109681 (base3), A325644 (base 4), this sequence (base 5), A325692 (base 6), A325693 (base 7), A325805 (base 8), A325829 (base 9), A103205 (base 10).

Sequence in context: A127198 A065631 A222244 * A176570 A269559 A083173

Adjacent sequences: A325642 A325643 A325644 * A325646 A325647 A325648

Keyword

nonn,base

Author

Seiichi Manyama, Sep 07 2019

Status

approved