A085805 -id:A085805 - cp's OEIS frontend

A086641 Permanents of the character tables that appear in A085805.

8, -576, -13824, -14665728, 13177872384

Offset: 0

Yuval Dekel (dekelyuval(AT)hotmail.com), Jul 26 2003

A119413 a(n) = 16*n - 12.

4, 20, 36, 52, 68, 84, 100, 116, 132, 148, 164, 180, 196, 212, 228, 244, 260, 276, 292, 308, 324, 340, 356, 372, 388, 404, 420, 436, 452, 468, 484, 500, 516, 532, 548, 564, 580, 596, 612, 628, 644, 660, 676, 692, 708, 724, 740, 756, 772, 788, 804, 820, 836

Offset: 1

Jorge Coveiro, Jul 26 2006

General form: (q*n+1)*q: q=2: A016825, q=3: A017197, q=4: A119413, ... . - Vladimir Joseph Stephan Orlovsky, Feb 16 2009

Vincenzo Librandi, Table of n, a(n) for n = 1..5000
Tanya Khovanova, Recursive Sequences.
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A044446, A085805, A016825, A017197, A119413.

Cf. A016813, A017089.

[16*n-12: n in [1..60]]; // Vincenzo Librandi, Jul 23 2011

Range[4, 1000, 16] (* Vladimir Joseph Stephan Orlovsky, May 31 2011 *)

PARI
```
for(x=1,100,print1(16*x-12,", "))
```

O.g.f.: 4*x*(1+3*x)/(1-x)^2. - R. J. Mathar, Aug 08 2008
From Elmo R. Oliveira, Apr 03 2025: (Start)
E.g.f.: 4*(exp(x)*(4*x - 3) + 3).
a(n) = 2*a(n-1) - a(n-2) for n > 2.
a(n) = 4*A016813(n-1) = 2*A017089(n-1). (End)

A044446 Numbers k such that string 1,0 occurs in the base-4 representation of k but not of k+1.

Original entry on oeis.org

4, 20, 36, 52, 84, 100, 116, 132, 148, 164, 180, 196, 212, 228, 244, 340, 356, 372, 388, 404, 420, 436, 452, 468, 484, 500, 516, 532, 548, 564, 596, 612, 628, 644, 660, 676, 692, 708, 724, 740, 756, 772, 788, 804, 820, 852, 868, 884, 900, 916, 932, 948, 964

Offset: 1

Clark Kimberling

Cf. A007090, A097357, A085805, A043880.

from sympy.ntheory.factor_ import digits
def has10(k): s = "".join(map(str, digits(k, 4)[1:])); return "10" in s
def ok(n): return has10(n) and not has10(n+1)
print(list(filter(ok, range(965)))) # Michael S. Branicky, Apr 20 2021

a(5) = 68 removed by Georg Fischer, Jun 27 2019

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A086641 Permanents of the character tables that appear in A085805.

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A119413 a(n) = 16*n - 12.

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A044446 Numbers k such that string 1,0 occurs in the base-4 representation of k but not of k+1.

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