login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A301621 Numbers not divisible by 2, 3 or 5 (A007775) with digital root 2. 0
11, 29, 47, 83, 101, 119, 137, 173, 191, 209, 227, 263, 281, 299, 317, 353, 371, 389, 407, 443, 461, 479, 497, 533, 551, 569, 587, 623, 641, 659, 677, 713, 731, 749, 767, 803, 821, 839, 857, 893, 911, 929, 947, 983, 1001, 1019, 1037, 1073, 1091, 1109 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers congruent to 11, 29, 47, or 83 mod 90 with additive sum sequence 11 { + 18 + 18 + 36 + 18} {repeat ...}. Includes all prime numbers greater than 5 with digital root 2.

LINKS

Table of n, a(n) for n=1..50.

FORMULA

n == {11, 29, 47, 83} mod 90.

From Colin Barker, Mar 26 2018: (Start)

G.f.: x*(11 + 18*x + 18*x^2 + 36*x^3 + 7*x^4) / ((1 - x)^2*(1 + x)*(1 + x^2)).

a(n) = a(n-1) + a(n-4) - a(n-5) for n>5.

(End)

EXAMPLE

11+18=29; 29+18=47; 47+36=83; 83+18=101; 101+18=119.

MATHEMATICA

Flatten[Table[90n - {79, 61, 43, 7}, {n, 30}]] (* Alonso del Arte, Mar 29 2018 *)

PROG

(PARI) Vec(x*(11 + 18*x + 18*x^2 + 36*x^3 + 7*x^4) / ((1 - x)^2*(1 + x)*(1 + x^2)) + O(x^60)) \\ Colin Barker, Mar 26 2018

(GAP) Filtered(Filtered([1..1200], n->n mod 2 <> 0 and n mod 3 <> 0 and n mod 5 <> 0), i->i-9*Int((i-1)/9)=2); # Muniru A Asiru, Apr 22 2018

CROSSREFS

Intersection of A007775 and A017185.

Sequence in context: A249436 A167521 A031338 * A049229 A282538 A236485

Adjacent sequences:  A301618 A301619 A301620 * A301622 A301623 A301624

KEYWORD

nonn,base,easy

AUTHOR

Gary Croft, Mar 24 2018

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 December 10 20:38 EST 2019. Contains 329909 sequences. (Running on oeis4.)