A166728 Positive integers with English names ending in "x".

6, 26, 36, 46, 56, 66, 76, 86, 96, 106, 126, 136, 146, 156, 166, 176, 186, 196, 206, 226, 236, 246, 256, 266, 276, 286, 296, 306, 326, 336, 346, 356, 366, 376, 386, 396, 406, 426, 436, 446, 456, 466, 476, 486, 496, 506, 526, 536, 546, 556, 566, 576, 586, 596

Offset

1,1

Links

Table of n, a(n) for n=1..54.

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

Formula

A017341 MINUS {n | n = 16 mod 100}.

From Robert Israel, Jul 01 2018: (Start)

a(n+9) = a(n)+100.

G.f.: x*(6+20*x+10*x^2+10*x^3+10*x^4+10*x^5+10*x^6+10*x^7+10*x^8+4*x^9)/(1-x-x^9+x^10). (End)

Example

Fifty-six (56) is a term; sixteen (16) is not a term (but is a term of A060228).

Maple

seq(seq(6+10*i+100*j, i=[0, $2..9]), j=0..10); # Robert Israel, Jul 01 2018

Mathematica

Rest@ CoefficientList[Series[x (6 + 20 x + 10 x^2 + 10 x^3 + 10 x^4 + 10 x^5 + 10 x^6 + 10 x^7 + 10 x^8 + 4 x^9)/(1 - x - x^9 + x^10), {x, 0, 54}], x] (* Michael De Vlieger, Jul 01 2018 *)

Prog

(Python)
def agen(lim): yield from (k for k in range(6, lim+1, 10) if k%100 != 16)
print([an for an in agen(600)]) # Michael S. Branicky, Jun 26 2021

Crossrefs

Cf. A017341, A166726, A166727, A166729, A166730, A166731, A059093, A060228.

Sequence in context: A271311 A075454 A075456 * A285453 A327713 A136892

Adjacent sequences: A166725 A166726 A166727 * A166729 A166730 A166731

Keyword

easy,nonn,word

Author

Rick L. Shepherd, Oct 20 2009

Status

approved