A032549 -id:A032549 - cp's OEIS frontend

A032550 Quotient of 'base-7' division described in A032549.

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 11, 12, 12, 16, 16, 15, 17, 16, 16, 16, 17, 22, 23, 24, 24, 24, 34, 34, 31, 35, 34, 34, 48, 50, 67

Offset: 1

Patrick De Geest, Apr 15 1998

Cf. A032548, A032549. See also A032532 for explanation.

More terms from Larry Reeves (larryr(AT)acm.org), Sep 27 2000
The next term has an A032549 value > 2.4*10^11
Offset changed to 1 by Jinyuan Wang, Sep 04 2021

A062943 When expressed in base 7 and then interpreted in base 9, is a multiple of the original number.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 426, 428, 452, 880, 906, 932, 1360, 7687134, 53809938, 2571412221, 2582875882, 5016909933, 5154289245, 7736157463, 7748731389, 39728612701, 109634280128, 116779253264, 198109784526, 233617301990, 480974817878, 1011847148845, 1432434922737

Offset: 1

Erich Friedman, Jul 21 2001

The terms I added (including those in the b-file) are all the remaining ones < 10^30. They have been computed by essentially using ideas from Giovanni Resta. - Dimiter Skordev, Jan 26 2020

			426 in base 7 is 1146, which interpreted in base 9 is 852=2*426.

Dimiter Skordev, Table of n, a(n) for n = 1..103
Dimiter Skordev, Python script

Cf. A032549.

Join[{0},Select[Range[1400],Divisible[FromDigits[IntegerDigits[#,7],9],#]&]] (* Harvey P. Dale, Mar 29 2012 *)

More terms from Naohiro Nomoto, Aug 07 2001

a(16) and beyond from Dimiter Skordev, Jan 25 2020

A062944 Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 51, 102, 105, 153, 156, 207, 210, 258, 261, 312, 315, 2589, 2590, 2601, 2753, 5354, 5355, 5506, 8108, 8259, 8260, 10861, 11013, 11025, 13614, 13615, 13626, 13766, 13778, 16379, 16380, 16531, 33045

Offset: 1

Erich Friedman, Jul 21 2001

Zero followed by A032549. [From R. J. Mathar, Oct 02 2008]

There are only 47 terms up to 10 million, the largest of which is 7581525. - Harvey P. Dale, Jul 09 2016

			51 in base 7 is 102, which interpreted in base 10 is 102=2*51

Georg Fischer, Table of n, a(n) for n = 1..64 [First 47 terms from Harvey P. Dale]

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062928, A062929, A062930, A062931, A062934, A062937, A062939, A062942, A062943.

Join[{0},Select[Range[35000],Divisible[FromDigits[IntegerDigits[ #,7]], #]&]] (* Harvey P. Dale, Jul 09 2016 *)

Offset changed to 1 by Georg Fischer, Mar 13 2023

A032548 Integer part of decimal 'base-7 looking' numbers divided by their actual base-7 values.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2

Offset: 1

Patrick De Geest, Apr 15 1998

Antti Karttunen, Table of n, a(n) for n = 1..35000

Cf. A007093, A032549, A032550. See also A032532 for explanation.

Array[IntegerPart[FromDigits[#]/FromDigits[#, 7]] &@ IntegerDigits[#, 7] &, 100] (* Michael De Vlieger, Jan 03 2019 *)

A007093(n) = if(n<=1,n,(10*A007093(n\7))+(n%7));
A032548(n) = (A007093(n)\n); \\ Antti Karttunen, Jan 01 2019

a(n) = floor(A007093(n)/n). - Antti Karttunen, Jan 01 2019

Offset corrected by Antti Karttunen, Jan 01 2019

cp's OEIS Frontend

A032550 Quotient of 'base-7' division described in A032549.

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A062943 When expressed in base 7 and then interpreted in base 9, is a multiple of the original number.

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A062944 Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.

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Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

Extensions

A032548 Integer part of decimal 'base-7 looking' numbers divided by their actual base-7 values.

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