A032540 -id:A032540 - cp's OEIS frontend

A032541 Quotient of 'base-4' division described in A032540.

1, 1, 1, 2, 5, 11, 13, 13, 37, 31, 28, 37, 37, 79, 77, 76, 74, 70, 72, 88, 81, 79, 88, 217, 211, 196, 190, 185, 175, 180, 223, 220, 211, 220, 511, 490, 484, 479, 475, 450, 407, 568, 550, 484, 550, 1369, 1293, 1225, 1210, 1078, 1125, 1517, 1420, 1375, 1210, 1375

Offset: 1

Patrick De Geest, Apr 15 1998

Cf. A032539, A032540. See also A032532 for explanation.

Offset changed to 1 and a(54)-a(56) from Jinyuan Wang, Sep 04 2021

A062920 Numbers k that, when expressed in base 4 and then interpreted in base 5, give a multiple of k.

Original entry on oeis.org

0, 1, 2, 3, 1060, 2137, 3197, 3214, 3217, 3337, 313259, 313406, 730473, 2304689, 2416087, 3579260, 28850251, 31289731, 132716102, 206771980, 530864408, 616417140, 621776006, 1553684761, 2123457632, 2232402380, 5264756497, 8929609520, 22137774186, 2543308829640

Offset: 1

Erich Friedman, Jul 21 2001

			3 in base 4 is 3, which interpreted in base 5 is 3 = 1*3.

Cf. A062921, A062922, A062923, A032540.

Join[{0},Select[Range[5000000],Divisible[FromDigits[IntegerDigits[#,4],5], #]&]] (* Harvey P. Dale, Dec 10 2012 *)

baseE(x, b)= { local(d, e, f); e=0; f=1; while (x>0, d=x-b*(x\b); x\=b; e+=d*f; f=f*10); return(e) } baseI(x, b)= { local(d, e, f); e=0; f=1; while (x>0, d=x-10*(x\10); x\=10; e+=d*f; f=f*b); return(e) } { n=-1; for (m=0, 10^9, x=baseI(baseE(m, 4), 5); if (x%m == 0, write("b062920.txt", n++, " ", m); if (n==15, break)) ) } \\ Harry J. Smith, Aug 13 2009

More terms from Naohiro Nomoto, Aug 06 2001

Offset corrected by and a(17)-a(30) from Giovanni Resta, Jun 28 2018

A032539 Integer part of decimal 'base-4 looking' numbers divided by their actual base-4 values.

Original entry on oeis.org

1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 6, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 15, 15, 15, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12

Offset: 1

Patrick De Geest, Apr 15 1998

Cf. A007090, A032540, A032541. See also A032532 for explanation.

a(n) = floor(A007090(n)/n).

Offset corrected by Sean A. Irvine, Jun 22 2020

cp's OEIS Frontend

A032541 Quotient of 'base-4' division described in A032540.

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A062920 Numbers k that, when expressed in base 4 and then interpreted in base 5, give a multiple of k.

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Mathematica

PARI

Extensions

A032539 Integer part of decimal 'base-4 looking' numbers divided by their actual base-4 values.

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