A029925 -id:A029925 - cp's OEIS frontend

A029926 Convert n from degrees Fahrenheit to nearest integer Celsius.

-18, -17, -17, -16, -16, -15, -14, -14, -13, -13, -12, -12, -11, -11, -10, -9, -9, -8, -8, -7, -7, -6, -6, -5, -4, -4, -3, -3, -2, -2, -1, -1, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 17, 17, 18, 18

Offset: 0

N. J. A. Sloane

sign

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 8.

Ray Chandler, Table of n, a(n) for n = 0..1000
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 8.
Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 1, -1).

Cf. A029925, A085259, A085268, A177154.

Table[Round[(5(n-32))/9],{n,0,100}] (* Harvey P. Dale, Feb 09 2020 *)

From Reinhard Zumkeller, May 03 2010: (Start)
a(n) = round(5*(n-32)/9).
a(A029925(n)) = n. (End)

A177154 Fractional part of the conversion from degrees Celsius to Fahrenheit.

Original entry on oeis.org

0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6, 4, 2

Offset: 0

Reinhard Zumkeller, May 03 2010

nonn

From Klaus Brockhaus, May 06 2010: (Start)
Periodic sequence: Repeat 0, 8, 6, 4, 2.
Decimal expansion of 8642/99999. (End)

Ray Chandler, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1).

Cf. A029925, A029926, A085259, A085268.

PadRight[{}, 100, {0, 8, 6, 4, 2}] (* Paolo Xausa, Jan 29 2024 *)

(A085259(n) + a(n)/10 - 32) * 5 / 9 = n;
A029925(n) - A085259(n) = floor(a(n)/5);
a(n) = A010879(A022966(A005843(A010874(n)))).
G.f.: 2*x*(4+3*x+2*x^2+x^3)/(1-x^5). - Klaus Brockhaus, May 06 2010

A085259 Integer part of the conversion from Celsius to Fahrenheit.

Original entry on oeis.org

32, 33, 35, 37, 39, 41, 42, 44, 46, 48, 50, 51, 53, 55, 57, 59, 60, 62, 64, 66, 68, 69, 71, 73, 75, 77, 78, 80, 82, 84, 86, 87, 89, 91, 93, 95, 96, 98, 100, 102, 104, 105, 107, 109, 111, 113, 114, 116, 118, 120, 122, 123, 125, 127, 129, 131, 132, 134, 136, 138, 140

Offset: 0

Cino Hilliard, Aug 12 2003

			a(5) = 41 (exactly), a(-40) = -40 (also exactly).

Ray Chandler, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1).

Cf. A029925, A029926, A085268, A177154.

Floor[9/5 Range[0, 100]] + 32 (* Paolo Xausa, Jan 29 2024 *)

f(n) = for(c=0,n,print1(floor(9/5*c+32),","))

a(n) = floor(9*n/5+32).
From Reinhard Zumkeller, May 03 2010: (Start)
(a(n) + A177154(n)/10 - 32)*5/9 = n;
a(n) = A029925(n) - floor(A177154(n)/5). (End)
G.f.: -(30*x^5-2*x^4-2*x^3-2*x^2-x-32) / ((x-1)^2*(x^4+x^3+x^2+x+1)). - Colin Barker, Mar 23 2013

Recomputation for insertion of missing a(26)=78 by Reinhard Zumkeller, May 03 2010

A085268 Integer part of the conversion from Fahrenheit to Celsius.

Original entry on oeis.org

0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34, 35, 35, 36, 36, 37, 37, 38, 38, 39, 40, 40, 41

Offset: 32

Cino Hilliard, Aug 12 2003

Ray Chandler, Table of n, a(n) for n = 32..1000
Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 1, -1).

Cf. A029925, A029926, A085259, A177154.

Floor[5/9 (#-32)]&/@Range[32,110] (* Harvey P. Dale, Jan 03 2013 *)

g(n) = for(x=32,n,print1(floor(5/9*(x-32)),","))

f(n) = floor((5/9)*(n-32)).

G.f.: x^34*(x^7+x^6+x^4+x^2+1) / ((x-1)^2*(x^2+x+1)*(x^6+x^3+1)). - Colin Barker, Mar 23 2013

Corrected by T. D. Noe, Nov 02 2006

Formula corrected by Harvey P. Dale, Jan 03 2013

A109952 Degrees Celsius for which Fahrenheit is a prime.

Original entry on oeis.org

5, 15, 45, 55, 65, 75, 115, 125, 145, 155, 175, 195, 205, 215, 255, 265, 295, 315, 325, 345, 395, 405, 425, 475, 505, 525, 545, 555, 565, 595, 645, 665, 695, 705, 715, 745, 765, 775, 805, 815, 845, 855, 875, 925, 945, 975, 995, 1025, 1045, 1055, 1065, 1095

Offset: 1

Zak Seidov, Jul 06 2005

nonn

The sequence only includes positive integer values and all terms are multiples of 5 but no terms are multiples of 10. - Harvey P. Dale, Jul 23 2025

			f = 9 c / 5 + 32; a(1) = c = 5 because f = 41 is a prime.

Temperature Converter.

Cf. A029925, A029926.

f[c_]:=9 c /5 +32; A109952 = Select[Range[5, 2000, 5], PrimeQ[f[ # ]]&]
Select[Table[5 (p-32)/9,{p,Prime[Range[10,400]]}],IntegerQ] (* Harvey P. Dale, Jul 23 2025 *)

cp's OEIS Frontend

A029926 Convert n from degrees Fahrenheit to nearest integer Celsius.

Views

Author

Keywords

References

Links

Crossrefs

Programs

Mathematica

Formula

A177154 Fractional part of the conversion from degrees Celsius to Fahrenheit.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica

Formula

A085259 Integer part of the conversion from Celsius to Fahrenheit.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Mathematica

PARI

Formula

Extensions

A085268 Integer part of the conversion from Fahrenheit to Celsius.

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

PARI

Formula

Extensions

A109952 Degrees Celsius for which Fahrenheit is a prime.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica