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A325644 "Sloping quaternary numbers": write numbers in quaternary under each other (right-justified), read diagonals in upward direction, convert to decimal. 8
0, 1, 2, 7, 4, 5, 6, 11, 8, 9, 10, 15, 12, 13, 30, 19, 16, 17, 18, 23, 20, 21, 22, 27, 24, 25, 26, 31, 28, 29, 46, 35, 32, 33, 34, 39, 36, 37, 38, 43, 40, 41, 42, 47, 44, 45, 62, 51, 48, 49, 50, 55, 52, 53, 54, 59, 56, 57, 58, 63, 60, 125, 78, 67, 64, 65, 66, 71, 68, 69, 70 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Wikipedia, Quaternary numeral system

EXAMPLE

    0

    1

    2

    3

   10

   11

   12

   13

   20

   21

   22

   23

   30

   31

   32

   33

  100

...

The upward-sloping diagonals are:

0

1

2

13

10

11

12

23

20

21

22

33

30

31

132

103

100

...

giving 0, 1, 2, "7", 4, 5, 6, "11", 8, 9, 10, "15", 12, 13, "30", "19", 16, ...

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(4, 4)

CROSSREFS

Cf. A102370 (base 2), A109681 (base3), this sequence (base 4), A325645 (base 5), A325692 (base 6), A325693 (base 7), A325805 (base 8), A325829 (base 9), A103205 (base 10).

Sequence in context: A049249 A336000 A222237 * A198036 A316249 A197143

Adjacent sequences:  A325641 A325642 A325643 * A325645 A325646 A325647

KEYWORD

nonn,base

AUTHOR

Seiichi Manyama, Sep 07 2019

STATUS

approved

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Last modified July 10 11:42 EDT 2020. Contains 335576 sequences. (Running on oeis4.)