A044072 -id:A044072 - cp's OEIS frontend

A106839 Numbers congruent to 11 mod 16.

11, 27, 43, 59, 75, 91, 107, 123, 139, 155, 171, 187, 203, 219, 235, 251, 267, 283, 299, 315, 331, 347, 363, 379, 395, 411, 427, 443, 459, 475, 491, 507, 523, 539, 555, 571, 587, 603, 619, 635, 651, 667, 683, 699, 715, 731, 747, 763, 779, 795, 811, 827, 843

Offset: 0

Ralf Stephan, May 03 2005

Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Tanya Khovanova, Recursive Sequences.
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Differs from A044072.

Cf. A008598, A017101, A051062, A119413.

[[ n : n in [1..1000] | n mod 16 eq 11]]; // Vincenzo Librandi, Oct 10 2011

Range[11, 1000, 16] (* Vladimir Joseph Stephan Orlovsky, May 31 2011 *)
LinearRecurrence[{2,-1},{11,27},60] (* Harvey P. Dale, Aug 12 2021 *)

a(n)=16*n+11 \\ Charles R Greathouse IV, Oct 16 2015

def a(n): return 11 + 16*n
print([a(n) for n in range(53)]) # Michael S. Branicky, Nov 27 2021

G.f.: x*(11+5*x)/(x-1)^2. - R. J. Mathar, Oct 08 2011
From Vincenzo Librandi, Oct 10 2011: (Start)
a(n) = 11 + 16*n.
a(n) = 32*n - a(n-1) + 6, a(0)=11. (End)
From Elmo R. Oliveira, Apr 03 2025: (Start)
E.g.f.: exp(x)*(11 + 16*x).
a(n) = 2*a(n-1) - a(n-2).
a(n) = A017101(2*n+1). (End)

A044453 Numbers k such that string 2,3 occurs in the base 4 representation of k but not of k+1.

Original entry on oeis.org

11, 27, 47, 59, 75, 91, 111, 123, 139, 155, 191, 203, 219, 239, 251, 267, 283, 303, 315, 331, 347, 367, 379, 395, 411, 447, 459, 475, 495, 507, 523, 539, 559, 571, 587, 603, 623, 635, 651, 667, 767, 779, 795, 815, 827, 843, 859, 879, 891, 907, 923, 959, 971

Offset: 1

Clark Kimberling

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Cf. A044072.

from sympy.ntheory.factor_ import digits
def has23(n): return "23" in "".join(map(str, digits(n, 4)[1:]))
def ok(n): return has23(n) and not has23(n+1)
print([k for k in range(972) if ok(k)]) # Michael S. Branicky, Nov 27 2021

a(48) and beyond from Michael S. Branicky, Nov 27 2021

cp's OEIS Frontend

A106839 Numbers congruent to 11 mod 16.

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