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A061830 Multiples of 5 having only even digits. 2
0, 20, 40, 60, 80, 200, 220, 240, 260, 280, 400, 420, 440, 460, 480, 600, 620, 640, 660, 680, 800, 820, 840, 860, 880, 2000, 2020, 2040, 2060, 2080, 2200, 2220, 2240, 2260, 2280, 2400, 2420, 2440, 2460, 2480, 2600, 2620, 2640, 2660, 2680, 2800, 2820, 2840 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for 10-automatic sequences.

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

FORMULA

a(0)=0, a(1)=20, a(2)=40, a(3)=60, a(4)=80, a(5)=200, a(6)=220, a(7)=240, a(8)=260, a(9)=280, a(10)=400, a(11)=420, a(12)=440, a(13)=460, a(14)=480, a(15)=600, a(16)=620, a(17)=640, a(18)=660, a(19)=680, a(20)=800, a(21)=820, a(22)=840, a(23)=860, a(24)=880, a(25)=2000, a(n)=a(n-1)+ a(n-25)- a(n-26). - Harvey P. Dale, Feb 24 2014

EXAMPLE

220 = 5*44 is a term having all even digits.

MATHEMATICA

Select[5*Range[0, 2000], And@@EvenQ[IntegerDigits[#]]&] (* or *) LinearRecurrence[ {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1}, {0, 20, 40, 60, 80, 200, 220, 240, 260, 280, 400, 420, 440, 460, 480, 600, 620, 640, 660, 680, 800, 820, 840, 860, 880, 2000}, 50] (* Harvey P. Dale, Feb 24 2014 *)

PROG

(PARI) is(n)=n%10==0 && #setintersect(Set(digits(n)), [1, 3, 5, 7, 9])==0 \\ Charles R Greathouse IV, Feb 15 2017

CROSSREFS

Cf. A061829.

Sequence in context: A049057 A065607 A008602 * A235282 A270296 A338433

Adjacent sequences:  A061827 A061828 A061829 * A061831 A061832 A061833

KEYWORD

nonn,base,easy

AUTHOR

Amarnath Murthy, May 29 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), May 30 2001

STATUS

approved

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Last modified June 15 15:16 EDT 2021. Contains 345049 sequences. (Running on oeis4.)