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A045801 1-ish numbers (end in 11, 39, 73, 77). 2

%I #28 Mar 16 2023 08:50:36

%S 11,39,73,77,111,139,173,177,211,239,273,277,311,339,373,377,411,439,

%T 473,477,511,539,573,577,611,639,673,677,711,739,773,777,811,839,873,

%U 877,911,939,973,977,1011,1039,1073,1077,1111,1139,1173,1177,1211,1239

%N 1-ish numbers (end in 11, 39, 73, 77).

%H Reinhard Zumkeller, <a href="/A045801/b045801.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,1,-1).

%F G.f.: x*(11+28*x+34*x^2+4*x^3+23*x^4)/(1-x-x^4+x^5). - _Colin Barker_, Jan 23 2012

%F a(n) = (50*n-12*i^(n*(n-1))-9*(-1)^n-25)/2, where i=sqrt(-1). - _Bruno Berselli_, Feb 23 2012

%t Table[100n+k,{n,0,20},{k,{11,39,73,77}}]//Flatten (* or *) LinearRecurrence[ {1,0,0,1,-1},{11,39,73,77,111},80] (* _Harvey P. Dale_, Jul 05 2019 *)

%o (Haskell)

%o import Data.List (findIndices)

%o a045801 n = a045801_list !! (n-1)

%o a045801_list = findIndices (`elem` [11,39,73,77]) $ cycle [0..99]

%o -- _Reinhard Zumkeller_, Jan 23 2012

%Y Cf. A045800-A045809, A045572, A045797, A045798.

%K nonn,base,easy

%O 1,1

%A _J. H. Conway_.

%E More terms from _Erich Friedman_.

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Last modified April 20 00:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)