A321218 Decimal expansion of number of Pascals (Pa) in 1 Torr.

1, 3, 3, 3, 2, 2, 3, 6, 8, 4, 2, 1, 0, 5, 2, 6, 3, 1, 5, 7, 8, 9, 4, 7, 3, 6, 8, 4, 2, 1, 0, 5, 2, 6, 3, 1, 5, 7, 8, 9, 4, 7, 3, 6, 8, 4, 2, 1, 0, 5, 2, 6, 3, 1, 5, 7, 8, 9, 4, 7, 3, 6, 8, 4, 2, 1, 0, 5, 2, 6, 3, 1, 5, 7, 8, 9, 4, 7, 3, 6, 8, 4, 2, 1, 0, 5, 2, 6, 3, 1, 5, 7, 8

Offset

3,2

Comments

1 Torr is defined to be exactly 1/760 of standard atmospheric pressure (101325 Pa), which is about 133.322368421052... Pa. Note that 1 Torr is slightly different from 1 mmHg (millimeter of mercury), which is defined to be exactly 133.322387415 Pa, or 13.5951 mmH2O (millimeters of water), with relative difference less than 0.000015%.

Period 18 from a(9) on.

Links

Table of n, a(n) for n=3..95.

Wikipedia, Torr

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,-1,1).

Formula

a(n) = A021023(n+3) for n >= 9.

G.f.: -x^3*(5*x^15 - 3*x^14 + 4*x^13 - x^12 - x^11 - 3*x^9 + 2*x^8 + 3*x^7 + x^6 - x^4 + 2*x + 1)/((x - 1)*(x + 1)*(x^2 - x + 1)*(x^6 - x^3 + 1))

Example

1 Torr = 1/760 atm = 101325/760 Pa = 20265/152 Pa.

Prog

(PARI) default(realprecision, 100); 20265.0/152.0
(PARI) x='x+O('x^50); Vec(-x^3*(5*x^15-3*x^14+4*x^13-x^12-x^11-3*x^9+2*x^8+3*x^7+x^6-x^4+2*x+1)/((x-1)*(x+1)*(x^2-x+1)*(x^6-x^3+1)))

Crossrefs

Cf. A021023. A213611.

Sequence in context: A074804 A242465 A075074 * A259494 A356525 A226895

Adjacent sequences: A321215 A321216 A321217 * A321219 A321220 A321221

Keyword

nonn,cons

Author

Jianing Song, Oct 31 2018

Status

approved