A099149 Take a <= b such that f(a)+f(b)=concatenation of a and b, where f(k)=k(k+3)/2 (A000096). Sequence gives values of b.
5, 6, 8, 8, 6, 5, 59, 78, 384, 98, 98, 506, 78, 1803, 59, 599, 798, 960, 921, 998, 998, 14555, 921, 860, 798, 599, 506, 384, 5999, 6785, 24615, 7343, 27170, 7998, 36005
Offset: 1
Examples
From _R. J. Mathar_, Oct 10 2017 (Start) Values of a, then b, then f(a)+f(b) and concatenations (first a, then b or first b, then a), sorted on b, are: 0 0 0+0=0 2 5 5+20=25 3 6 9+27=36 8 8 44+44=88 8 9 44+54=98 6 14 27+119=146 5 15 20+135=155 0 17 0+170=170 20 59 230+1829=2059 39 78 819+3159=3978 98 98 4949+4949=9898 98 99 4949+5049=9998 78 158 3159+12719=15878 59 177 1829+15930=17759 77 384 3080+74304=77384 138 506 9729+128777=138506 200 599 20300+180299=200599 399 798 80199+319599=399798 492 860 121770+371090=492860 614 921 189419+425502=614921 998 998 499499+499499=998998 998 999 499499+500499=999998 921 1383 425502+958419=1383921 860 1505 371090+1134770=1505860 798 1598 319599+1279199=1598798 599 1797 180299+1617300=1797599 164 1803 13694+1628109=1641803 506 1859 128777+1730729=1859506 384 1920 74304+1846080=1920384 2000 5999 2003000+18002999=20005999 2655 6785 3528495+23028290=26556785 3213 7343 5166504+26970839=32137343 3999 7998 8001999+31995999=39997998 (End)
Extensions
Edited by Charles R Greathouse IV, Apr 23 2010
Comments