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A021053 Decimal expansion of 1/49. 1
0, 2, 0, 4, 0, 8, 1, 6, 3, 2, 6, 5, 3, 0, 6, 1, 2, 2, 4, 4, 8, 9, 7, 9, 5, 9, 1, 8, 3, 6, 7, 3, 4, 6, 9, 3, 8, 7, 7, 5, 5, 1, 0, 2, 0, 4, 0, 8, 1, 6, 3, 2, 6, 5, 3, 0, 6, 1, 2, 2, 4, 4, 8, 9, 7, 9, 5, 9, 1, 8, 3, 6, 7, 3, 4, 6, 9, 3, 8, 7, 7, 5, 5, 1, 0, 2, 0, 4, 0, 8, 1, 6, 3, 2, 6, 5, 3, 0, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The 42-digit cycle 1,0,2,0,4,0,8,1,6,3,2,6,5,3,0,6,1,2,2,4,4,8,9,7,9,5,9,1,8,3,6,7,3,4,6,9,3,8,7,7,5,5 in this sequence and the others based on forty-ninths, gives the successive digits of the smallest integer which is multiplied by 5 when the final digit is moved from the right hand end to the left hand end. - Ian Duff, Jan 09 2009

LINKS

Table of n, a(n) for n=0..98.

FORMULA

From Chai Wah Wu, Jul 13 2016: (Start)

a(n) = a(n-1) - a(n-21) + a(n-22) for n > 21.

G.f.: x*(x^20 + 4*x^19 + 2*x^17 + x^15 - 5*x^14 + 6*x^13 - 3*x^12 - 2*x^11 - x^10 + 4*x^9 - x^8 - 3*x^7 + 5*x^6 - 7*x^5 + 8*x^4 - 4*x^3 + 4*x^2 - 2*x + 2)/(1 - x + x^21 - x^22). (End)

MATHEMATICA

PadLeft[First@ #, Length@ First@ # + Abs@ Last@ #] &@ RealDigits[N[1/49, 120]] (* Michael De Vlieger, Jul 13 2016 *)

PROG

(PARI) 1/49. \\ Altug Alkan, Jul 13 2016

CROSSREFS

Sequence in context: A077966 A275670 A021102 * A182443 A128983 A265833

Adjacent sequences:  A021050 A021051 A021052 * A021054 A021055 A021056

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 16 19:49 EST 2019. Contains 319206 sequences. (Running on oeis4.)