Search: id:A098757
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%I A098757
%S A098757 0,2,4,6,80,24,680,246,802,46,8024,6802,4680,24680,246802,46802,468024,
%T A098757 68024,680246,80246,8024680,2468024,68024680,24680246,80246802,4680246,
%U A098757 802468024,680246802,468024680,2468024680,24680246802,4680246802
%N A098757 Smallest available integer which fits into the repeating pattern 02468.
%C A098757 a(n) must be chosen so its rightmost digit is not 8 (so that the next 
               term won't start with 0). - Sam Alexander (amnalexander(AT)yahoo.com), 
               Jan 04 2005
%C A098757 If n>=20, then a(n) is a(n-16) with one period 24680 (or a suitable cyclic 
               permutatin thereof) appended (or prepended, or inserted, whatever 
               one prefers). [From Hagen von Eitzen (math(AT)von-eitzen.de), Jun 
               18 2009]
%F A098757 Let (c[0], c[1], ..., c[15]) = (8024600, 2468000, 68024000, 24680000, 
               80246000, 4680200, 802460000, 680240000, 468020000, 2468000000, 24680000000, 
               4680200000, 46802000000, 6802400000,68024000000,8024600000), i.e. 
               c[r] = a[r+20] - a[r+4] for 0 <= r < 16. If n>=4, then writing n 
               = 16*k + r + 4 with 0<=r<16 we have a(n) = floor( c[r]*100000^k/99999 
               ). [From Hagen von Eitzen (math(AT)von-eitzen.de), Jun 18 2009]
%F A098757 G.f.: -4 + 2 x - 2 x^2 + 6 x^3 + (4 + 6 x^2 + 80 x^4 + 24 x^5 + 680 x^6 
               + 246 x^7 + 802 x^8 + 46 x^9 + 8024 x^10 + 6802 x^11 + 4680 x^12 
               + 24680 x^13 + 246802 x^14 + 46802 x^15 + 68020 x^16 + 68024 x^17 
               + 80240 x^18 + 80246 x^19 + 24600 x^20 + 68000 x^21 + 24000 x^22 
               + 80000 x^23 + 46000 x^24 + 80200 x^25 + 60000 x^26 + 40000 x^27 
               + 20000 x^28 - 200000 x^30)/(1 - 100001 x^16 + 100000 x^32) [From 
               Hagen von Eitzen (math(AT)von-eitzen.de), Jul 19 2009]
%Y A098757 Sequence in context: A084324 A066220 A009257 this_sequence A056012 A066719 
               A033319
%Y A098757 Adjacent sequences: A098754 A098755 A098756 this_sequence A098758 A098759 
               A098760
%K A098757 base,easy,nonn
%O A098757 0,2
%A A098757 Eric Angelini (eric.angelini(AT)kntv.be), Oct 01 2004
%E A098757 More terms from Sam Alexander (amnalexander(AT)yahoo.com), Jan 04 2005
%E A098757 More terms from Hagen von Eitzen (math(AT)von-eitzen.de), Jun 18 2009

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