cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Previous Showing 11-17 of 17 results.

A061520 a(0) = 0; a(n) is obtained by incrementing each digit of a(n-1) by 6.

Original entry on oeis.org

0, 6, 12, 78, 1314, 79710, 13151376, 79711791312, 1315137713157978, 797117913137971113151314, 1315137713157979131513777971179710, 797117913137971113151315797117913131315137713151376
Offset: 0

Views

Author

Amarnath Murthy, May 08 2001

Keywords

Comments

In A061511-A061522, A061746-A061750 when the incremented digit exceeds 9 it is written as a 2-digit string. So 9+1 becomes the 2-digit string 10, etc.

Programs

  • Maple
    g:= proc(n) op(convert(n+6,base,10)) end proc:
    L[0]:= [0]:
    for n from 1 to 12 do L[n]:= map(g,L[n-1]) od:
    map(t -> add(t[i]*10^(i-1),i=1..nops(t)), [seq(L[i],i=0..12)]): # Robert Israel, Jan 26 2020
  • Mathematica
    Nest[Append[#, FromDigits@ Flatten@ IntegerDigits[IntegerDigits@ #[[-1]] + 6]] &, {0}, 11] (* Michael De Vlieger, Jan 26 2020 *)
    NestList[FromDigits[Flatten[IntegerDigits/@(IntegerDigits[#]+6)]]&,0,15] (* Harvey P. Dale, Jan 10 2021 *)

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 11 2001
Corrected by Robert Israel, Jan 26 2020

A061514 a(0) = 0; a(n) is obtained by incrementing each digit of a(n-1) by 3.

Original entry on oeis.org

0, 3, 6, 9, 12, 45, 78, 1011, 4344, 7677, 1091010, 43124343, 76457676, 10978109109, 4312101143124312, 7645434476457645, 1097876771097810978, 4312101110910104312101143121011, 76454344431243437645434476454344
Offset: 0

Views

Author

Amarnath Murthy, May 08 2001

Keywords

Comments

In A061511-A061522, A061746-A061750 when the incremented digit exceeds 9 it is written as a 2-digit string. So 9+1 becomes the 2-digit string 10, etc.

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 11 2001

A061515 a(0) = 1; a(n) is obtained by incrementing each digit of a(n-1) by 3.

Original entry on oeis.org

1, 4, 7, 10, 43, 76, 109, 4312, 7645, 10978, 43121011, 76454344, 109787677, 431210111091010, 7645434443124343, 10978767776457676, 43121011109101010978109109, 76454344431243434312101143124312, 109787677764576767645434476457645, 431210111091010109781091091097876771097810978
Offset: 0

Views

Author

Amarnath Murthy, May 08 2001

Keywords

Comments

In A061511-A061522, A061746-A061750 when the incremented digit exceeds 9 it is written as a 2-digit string. So 9+1 becomes the 2-digit string 10, etc.

Programs

  • Python
    from itertools import accumulate, repeat
    def f(n, _): return int("".join(str(int(d)+3) for d in str(n)))
    def aupton(nn): return list(accumulate(repeat(1, nn+1), f))
    print(aupton(19)) # Michael S. Branicky, Mar 19 2022

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 11 2001
a(17) corrected and a(18), a(19) by Georg Fischer, Mar 19 2022

A061516 a(0) = 1; a(n) is obtained by incrementing each digit of a(n-1) by 4.

Original entry on oeis.org

1, 5, 9, 13, 57, 911, 1355, 5799, 9111313, 13555757, 5799911911, 911131313551355, 1355575757995799, 579991191191113139111313, 9111313135513551355575713555757, 135557575799579957999119115799911911
Offset: 0

Views

Author

Amarnath Murthy, May 08 2001

Keywords

Comments

In A061511-A061522, A061746-A061750 when the incremented digit exceeds 9 it is written as a 2-digit string. So 9+1 becomes the 2-digit string 10, etc.

Programs

  • Mathematica
    a[0]=1;a[n_]:=a[n]=FromDigits[Flatten[IntegerDigits/@(IntegerDigits[a[n-1]]+4)]]; Table[a[n],{n,0,15}] (* Zak Seidov, Mar 09 2006 *)

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 11 2001

A061518 a(0) = 0; a(n) is obtained by incrementing each digit of a(n-1) by 5.

Original entry on oeis.org

0, 5, 10, 65, 1110, 6665, 11111110, 66666665, 1111111111111110, 6666666666666665, 11111111111111111111111111111110, 66666666666666666666666666666665, 1111111111111111111111111111111111111111111111111111111111111110
Offset: 0

Views

Author

Amarnath Murthy, May 08 2001

Keywords

Comments

In A061511-A061522, A061746-A061750 when the incremented digit exceeds 9 it is written as a 2-digit string. So 9+1 becomes the 2-digit string 10, etc.

Programs

  • Python
    from itertools import accumulate, repeat
    def f(n, _): return int("".join(str(int(d)+5) for d in str(n)))
    def aupton(nn): return list(accumulate(repeat(0, nn+1), f))
    print(aupton(12)) # Michael S. Branicky, Mar 19 2022

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 11 2001
a(3) and following corrected and formula removed by Georg Fischer, Mar 19 2022

A061521 a(0) = 1; a(n) is obtained by incrementing each digit of a(n-1) by 6.

Original entry on oeis.org

1, 7, 13, 79, 1315, 79711, 13151377, 79711791313, 1315137713157979, 797117913137971113151315, 1315137713157979131513777971179711, 797117913137971113151315797117913131315137713151377, 131513771315797913151377797117971113151377131579797971179131379711791313
Offset: 0

Views

Author

Amarnath Murthy, May 08 2001

Keywords

Comments

In A061511-A061522, A061746-A061750 when the incremented digit exceeds 9 it is written as a 2-digit string. So 9+1 becomes the 2-digit string 10, etc.

Programs

  • Mathematica
    NestList[FromDigits[Flatten[IntegerDigits/@(IntegerDigits[#]+6)]]&,1,15] (* Harvey P. Dale, May 21 2015 *)

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 11 2001
a(5)-a(12) corrected by Harvey P. Dale, May 21 2015

A061748 a(0) = 1; a(n) is obtained by incrementing each digit of a(n-1) by 8.

Original entry on oeis.org

1, 9, 17, 915, 17913, 91517911, 179139151799, 91517911179139151717, 1791391517999151791117913915915, 91517911179139151717179139151799915179111791317913
Offset: 0

Views

Author

Amarnath Murthy, May 08 2001

Keywords

Comments

In A061511-A061522, A061746-A061750 when the incremented digit exceeds 9 it is written as a 2-digit string. So 9+1 becomes the 2-digit string 10, etc.

Programs

  • Mathematica
    NestList[FromDigits[Flatten[IntegerDigits/@(IntegerDigits[#]+8)]]&,1,10] (* Harvey P. Dale, Aug 20 2012 *)

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 11 2001
Previous Showing 11-17 of 17 results.