A037474 - OEIS

A037474

a(n) = Sum{d(i)*8^i: i=0,1,...,m}, where Sum{d(i)*7^i: i=0,1,...,m} is the base 7 representation of n.

0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

Numbers without digit 7 in base 8. Complement of A337239. - François Marques, Oct 13 2020

LINKS

François Marques, Table of n, a(n) for n = 0..10000 (first 1000 terms from Clark Kimberling)

EXAMPLE

a(48)=54 because 48 is 66_7 in base 7 and 66_8=54. - François Marques, Oct 13 2020

MATHEMATICA

Table[FromDigits[RealDigits[n, 7], 8], {n, 0, 100}] (* Clark Kimberling, Aug 14 2012 *)

PROG

(PARI) a(n) = fromdigits(digits(n, 7), 8); \\ François Marques, Oct 13 2020

(Python)

from gmpy2 import digits

def A037474(n): return int(digits(n, 7), 8) # Chai Wah Wu, Dec 04 2024

CROSSREFS

Cf. Numbers with at least one digit b-1 in base b : A074940 (b=3), A337250 (b=4), A337572 (b=5), A333656 (b=6), A337141 (b=7), A337239 (b=8), A338090 (b=9), A011539 (b=10), A095778 (b=11).

Cf. Numbers with no digit b-1 in base b: A005836 (b=3), A023717 (b=4), A020654 (b=5), A037465 (b=6), A020657 (b=7), this sequence (b=8), A037477 (b=9), A007095 (b=10), A171397 (b=11).

Sequence in context: A047421 A004777 A059561 * A292638 A000378 A335513

Adjacent sequences: A037471 A037472 A037473 * A037475 A037476 A037477

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

EXTENSIONS

Offset changed to 0 by Clark Kimberling, Aug 14 2012

STATUS

approved