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A303789 a(n) = Sum_{i=0..m} d(i)*6^i, where Sum_{i=0..m} d(i)*7^i is the base-7 representation of n. 3
0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27, 28, 29, 30, 30, 31, 32, 33, 34, 35, 36, 36, 37, 38, 39, 40, 41, 42, 36, 37, 38, 39, 40, 41, 42, 42, 43, 44, 45, 46, 47, 48, 48, 49, 50, 51, 52, 53, 54, 54, 55 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

EXAMPLE

19 = 25_7, so a(19) = 2*6 + 5 = 17.

20 = 26_7, so a(20) = 2*6 + 6 = 18.

21 = 30_7, so a(21) = 3*6 + 0 = 18.

22 = 31_7, so a(22) = 3*6 + 1 = 19.

PROG

(Ruby)

def f(k, ary)

  (0..ary.size - 1).inject(0){|s, i| s + ary[i] * k ** i}

end

def A(k, n)

  (0..n).map{|i| f(k, i.to_s(k + 1).split('').map(&:to_i).reverse)}

end

p A(6, 100)

(PARI) a(n) = fromdigits(digits(n, 7), 6); \\ Michel Marcus, May 02 2018

CROSSREFS

Sum_{i=0..m} d(i)*b^i, where Sum_{i=0..m} d(i)*(b+1)^i is the base (b+1) representation of n: A065361 (b=2), A215090 (b=3), A303787 (b=4), A303788 (b=5), this sequence (b=6).

Cf. A037470.

Sequence in context: A245337 A006164 A053758 * A145569 A213851 A172475

Adjacent sequences:  A303786 A303787 A303788 * A303790 A303791 A303792

KEYWORD

nonn,base

AUTHOR

Seiichi Manyama, Apr 30 2018

STATUS

approved

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Last modified February 29 04:32 EST 2020. Contains 332353 sequences. (Running on oeis4.)