login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A217562 Even numbers not divisible by 5. 2
2, 4, 6, 8, 12, 14, 16, 18, 22, 24, 26, 28, 32, 34, 36, 38, 42, 44, 46, 48, 52, 54, 56, 58, 62, 64, 66, 68, 72, 74, 76, 78, 82, 84, 86, 88, 92, 94, 96, 98, 102, 104, 106, 108, 112, 114, 116, 118, 122, 124, 126, 128, 132 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers ending with 2,4,6,8 in base 10.

No term is divisible by 10 therefore a subsequence of A067251 (Numbers with no trailing zeros in decimal representation).

Union of this sequence with A005408 (The odd numbers) gives A067251.

Union of this sequence with A045572 (Numbers that are odd but not divisible by 5) gives A047201.

The even numbers divisible by 5 are A008592 (Multiples of 10).

LINKS

Jeremy Gardiner, Table of n, a(n) for n = 1..4000

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

FORMULA

a(n) = 2*A047201(n).

G.f.: 2*x*(1+x+x^2+x^3+x^4) / ( (1+x)*(1+x^2)*(x-1)^2 ). - R. J. Mathar, Oct 06 2012

MATHEMATICA

CoefficientList[Series[2*(1 + x + x^2 + x^3 + x^4)/((1 + x)*(1 + x^2)*(x - 1)^2), {x, 0, 100}], x] (* Vincenzo Librandi, Dec 28 2012 *)

PROG

(BASIC)

for n=1 to 199

if n mod 5 <> 0 and n mod 2 <> 1 then print str$(n)+", ";

next n

print

(PARI) A217562(n)=(n-1)*5\2+2 \\ - M. F. Hasler, Oct 07 2012

(MAGMA) I:=[2, 4, 6, 8, 12]; [n le 5 select I[n] else Self(n-1) + Self(n-4) - Self(n-5): n in [1..60]]; // Vincenzo Librandi, Dec 28 2012

CROSSREFS

Cf. A005408, A005843, A045572, A047201, A067251.

Sequence in context: A058817 A328593 A254748 * A088879 A316470 A290822

Adjacent sequences:  A217559 A217560 A217561 * A217563 A217564 A217565

KEYWORD

nonn,easy

AUTHOR

Jeremy Gardiner, Oct 06 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 25 20:20 EST 2020. Contains 338627 sequences. (Running on oeis4.)