Search: id:A132191
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%I A132191
%S A132191 1,1,2,1,4,3,1,6,9,4,1,12,18,16,5,1,12,54,40,25,6,1,40,72,160,75,36,7,
               1,
%T A132191 28,405,280,375,126,49,8,1,96,390,2176,825,756,196,64,9,1,104,1944,2800,
%U A132191 8125,2016,1372,288,81,10,1,280,3411,17920,13175,23976,4312,2304,405
%N A132191 Square array read by antidiagonals, defined (in PARI notation) by a(m,
               n) = sum(k=1, n, if(gcd(k, n)==1, m^sumdiv(n, d, eulerphi(d)/znorder(Mod(k, 
               d))), 0); ) / eulerphi(n) }.
%H A132191 Max Alekseyev, <a href="a132191.txt">First 20 rows and columns of table</
               a>
%e A132191 Array begins:
%e A132191 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...
%e A132191 2, 4, 6, 12, 12, 40, 28, 96, 104, 280, 216, 1248, 704, 2800, 4344, 8928, 
               8232, 44224, 29204, 136032, ...
%e A132191 3, 9, 18, 54, 72, 405, 390, 1944, 3411, 14985, 17802, 139968, 133104, 
               798525, 1804518, 5454378, 8072532, 64599849, 64573626, 437732424, 
               ...
%e A132191 4, 16, 40, 160, 280, 2176, 2800, 17920, 44224, 263296, 419872, 4280320, 
               5594000, 44751616, 134391040, 539054080, 1073758360, 11453771776, 
               15271054960, 137575813120, ...
%e A132191 5, 25, 75, 375, 825, 8125, 13175, 103125, 327125, 2445625, 4884435, 61640625, 
               101732425, 1017323125, 3816215625, 19104609375, 47683838325, 635787765625, 
               1059638680675, 11924780390625, ...
%o A132191 (PARI) for(i=1,15,for(m=1,i,n=i-m+1;print1(sum(k=1,n,if(gcd(k,n)==1,m^sumdiv(n,
               d,eulerphi(d)/znorder(Mod(k,d))),0))/eulerphi(n)","))) - Herman Jamke 
               (hermanjamke(AT)fastmail.fm), Apr 26 2008
%Y A132191 Row m=2 is A056371
%Y A132191 Row m=3 is A056372
%Y A132191 Row m=4 is A056373
%Y A132191 Row m=5 is A056374
%Y A132191 Row m=6 is A056375
%Y A132191 Column n=2 is A000290
%Y A132191 Column n=3 is A002411
%Y A132191 Column n=4 is A019582
%Y A132191 Sequence in context: A142978 A152060 A093190 this_sequence A094437 A053123 
               A107661
%Y A132191 Adjacent sequences: A132188 A132189 A132190 this_sequence A132192 A132193 
               A132194
%K A132191 nonn,tabl
%O A132191 0,3
%A A132191 N. J. A. Sloane (njas(AT)research.att.com), Dec 01 2007, based on email 
               from Max Alekseyev, Nov 08 2007
%E A132191 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 26 2008

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