A116168
Numbers k such that k concatenated with k+1 gives the product of two numbers which differ by 8.
Original entry on oeis.org
19, 32, 16284704, 35576083, 15764836187996024260119639732979, 19807200907254352332962649366152, 20298517078413563250826300137112, 30190765850423053042937262322867, 30796637697589506772859224996627
Offset: 1
35576083//35576084 = 59645686 * 59645694, where // denotes concatenation.
35576083//35576091 = 59645687 * 59645693.
A116339
k times k+6 gives the concatenation of two numbers m and m+7.
Original entry on oeis.org
378, 617, 708, 903, 8761, 45456, 54539, 693063, 8181812, 88235288, 327935224, 330669332, 363636365, 418318517, 428571430, 461538455, 538461540, 571428565, 581681478, 636363630, 669330663, 672064771, 691571588
Offset: 1
-
f:= proc(d) local S,x;
S:= map(rhs@op,[msolve((x+3)^2 = 16, 10^d+1)]);
end proc:
g:= proc(n,d) local m; m:= ((n+3)^2-16)/(10^d+1)+7; m >= 10^(d-1) and m < 10^d end proc:
sort([seq](op(select(g,f(i),i)),i=2..13)); # Robert Israel, Jan 27 2024
A116346
n times n+7 gives the concatenation of two numbers m and m+8.
Original entry on oeis.org
300, 421, 573, 694, 729, 9856, 36356, 63638, 970299, 4545456, 5454538, 88235296, 351069984, 403018036, 493927127, 506072867, 596981958, 648930010, 736842098, 739839101, 766233768, 769230762, 827751189, 857142859
Offset: 1
A116344
Numbers k such that k*(k+2) gives the concatenation of two numbers m and m+8.
Original entry on oeis.org
464, 535, 717, 821, 3427, 6572, 90906, 980201, 3636360, 6363639, 41176467, 58823532, 413533837, 426573429, 428571425, 432620008, 567379991, 571428574, 573426570, 586466162, 686261110, 725274728, 727272724, 731321307
Offset: 1
A116352
Numbers k such that k*(k+6) gives the concatenation of two numbers m and m+9.
Original entry on oeis.org
3378, 6617, 7028, 49941474, 50058521, 97000298, 785321170881, 799019801018, 989301366861, 997000002998, 4044997109223942, 4136014586911893, 4248535260473902, 4366325506691846, 4457342984379797, 5542657015620198
Offset: 1
97000298 * 97000304 = 94090583//94090592, where // denotes concatenation.
Showing 1-5 of 5 results.
Comments