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 A203603 Numbers n=a+b+c+d such that 0
 153, 162, 180, 189, 207, 216, 234, 243, 270, 306, 315, 351, 360, 405, 450, 459, 468, 513, 531, 576, 603, 612, 621, 630, 702, 720, 729, 738, 801, 810, 819, 846 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Leading zeros are not allowed. Only 3-digit numbers are possible under the given constraints: If n had only 2 digits, then n <= 98 and a+b+c+d >= 10+25+36+47 > 100. If n had 4 digits, then n >= 1023 and a+b+c+d <= 4+5+6+987 < 1015. The summands a,b,c,d can have length 1,1,2,3 or 1,2,2,2. The idea and terms < 270 are from M. Levin, cf. link. LINKS Zak Seidov, Re: 10 different digits, SeqFan list, Jan 03 2012. EXAMPLE 234=8+9+67+150 243=8+9+76+150 270=5+8+94+163 306=8+9+75+214 315=7+8+96+204 351=8+9+74+260 360=7+8+94+251 405=8+9+76+312 450=8+9+72+361 459=2+6+81+370 468=2+5+91+370 513=8+9+76+420 531=7+8+96+420 576=2+3+91+480 603=8+9+74+512 612=7+8+94+503 621=8+9+74+530 630=8+9+72+541 702=8+9+54+631 720=5+8+94+613 729=3+5+81+640 738=2+5+91+640 801=6+9+54+732 810=6+9+53+742 819=3+4+62+750 846=2+3+91+750 PROG (PARI) is_A203603(n)={ my( t, d=eval( setminus( Vec("0123456789"), vecsort( Vec( Str( n )), , 8))), v1=[1, 1, 10, 1, 1, 10, 100]~, v2=[1, 10, 10, 1, 1, 1, 10]~); n<999 & #d==7 & for( p=1, 7!, t=vecextract(d, numtoperm(7, p)); n != t*v1 & n != t*v2 & next; t[1] * t[2] * t[3] * t[7] & return( if( n == t*v1, Str( t[2]"+"t[1]"+"t[3], t[4]"+"t[7], t[6], t[5] ), t )))} \\ M. F. Hasler, Jan 03 2012 CROSSREFS Sequence in context: A165340 A183985 A184045 * A272767 A104810 A352222 Adjacent sequences: A203600 A203601 A203602 * A203604 A203605 A203606 KEYWORD nonn,base,fini,full AUTHOR M. F. Hasler and Zak Seidov, Jan 03 2012 EXTENSIONS Terms > 243 from M. F. Hasler, Jan 03 2012 STATUS approved

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Last modified April 1 12:16 EDT 2023. Contains 361691 sequences. (Running on oeis4.)