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

1,1

Comments

For values of a, see A099148.

Links

Table of n, a(n) for n=1..35.

Example

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)

Crossrefs

Cf. A096032, A099148, A099150.

Sequence in context: A308191 A111770 A105738 * A197480 A180443 A205705

Adjacent sequences: A099146 A099147 A099148 * A099150 A099151 A099152

Keyword

nonn,base

Author

John W. Layman, Sep 30 2004

Extensions

Edited by Charles R Greathouse IV, Apr 23 2010

Status

approved