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.

Showing 1-10 of 14 results. Next

A141269 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, ...) transform in (0+1, 2+3, 2+2, 5+2, 3+7, 2+3, 3+2, 2+5, 11+2, 2+3, ...).

Original entry on oeis.org

1, 5, 4, 7, 10, 5, 5, 7, 13, 5, 15, 10, 7, 21, 5, 21, 4, 8, 9, 34, 5, 8, 4, 16, 5, 9, 31, 8, 33, 8, 13, 22, 9, 5, 39, 21, 16, 5, 46, 5, 50, 4, 14, 7, 25, 49, 7, 9, 7, 5, 19, 15, 55, 6, 16, 5, 10, 21, 88, 4, 8, 63, 34, 9, 8, 18, 5, 78, 4, 20, 25, 12, 73, 6, 75, 39, 8, 4, 21, 18, 5, 92, 6, 8, 6
Offset: 1

Views

Author

Juri-Stepan Gerasimov, Aug 08 2008

Keywords

Links

Crossrefs

Cf. A136734, A141270.

Extensions

Corrected at three or more places by R. J. Mathar, Feb 21 2009

A136735 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13,..) transform in ((0+1)*2, (3+2)*2, (5+2)*3, (7+2)*3, (3+2)*2, (5+11)*2, (2+3)*13,..).

Original entry on oeis.org

2, 10, 21, 27, 10, 32, 65, 27, 28, 57, 42, 21, 99, 75, 16, 45, 10, 72, 248, 21, 221, 24, 10, 741, 32, 328, 35, 90, 28, 161, 196, 20, 14, 40, 795, 15, 32, 30, 609, 122, 488, 99, 18, 143, 55, 138, 460, 49, 219, 365, 117, 14, 147, 39, 184, 27, 246, 170, 50, 817, 64, 1246
Offset: 1

Views

Author

Juri-Stepan Gerasimov, Oct 31 2008

Keywords

Examples

			(0+1)*2=2=a(1).
(3+2)*2=10=a(2).
(5+2)*3=21=a(3).
(7+2)*3 =27=a(4).
(3+2)*2=10=a(5).
(5+11)*2=32=a(6).
(2+3)*13 =65=a(7).
(2+7)*3=27=a(8), etc.

Crossrefs

Cf. A141269, A141270.

Extensions

Replaced an 18 by a 14. R. J. Mathar, Feb 21 2009

A136740 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3,..) becomes (2, 3, 5, 7, 11^13, 17, 19*23, 29, 31^37, 41^43, 47*53, 59, 61^67*71,..).

Original entry on oeis.org

2, 3, 5, 7, 34522712143931, 17, 437, 29
Offset: 1

Views

Author

Juri-Stepan Gerasimov, Nov 08 2008

Keywords

Examples

			a(5)=11^13=34522712142931.
a(7)=19*23=437,
etc.

Crossrefs

Cf. A141269, A141270, A143652, A143653, A143666.

Extensions

Corrected typo in a(5), inserted a(6). R. J. Mathar, Feb 21 2009

A136734 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13,..) transform in (0+1*2, 3+2*2, 5+2*3, 7+2*3, 3+2*2, 5+11*2, 2+3*13,..).

Original entry on oeis.org

2, 7, 11, 13, 7, 27, 41, 23, 13, 23, 40, 17, 29, 29, 13, 41, 7, 65, 158, 17, 45, 19, 8, 75, 29, 208, 23, 47, 17, 51, 55, 17, 12, 37, 691, 11, 27, 24, 77, 63, 308, 95, 16, 71, 35, 71, 86, 37, 77, 149, 113, 9, 135, 17, 171, 19, 86, 87, 38, 103, 61, 982, 8, 96, 48, 65, 142, 17
Offset: 1

Views

Author

Juri-Stepan Gerasimov, Oct 31 2008

Keywords

Examples

			0+1*2=2=a(1).
3+2*2=7=a(2).
5+2*3=11=a(3).
7+2*3 =13=a(4).
3+2*2=7=a(5).
5+11*2=27=a(6).
2+3*13 =41=a(7).
2+7*3=23=a(8), etc.

Crossrefs

Cf. A141269, A141270.

Extensions

a(67) corrected by R. J. Mathar, Apr 14 2010

A136611 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, ...) becomes (0, 1, 2, 3, 4^5, 6, 7*8, 9, 10^11, 12^13, 14*15, 16, 17^18*19, ...).

Original entry on oeis.org

0, 1, 2, 3, 1024, 6, 56, 9, 100000000000, 106993205379072, 210, 16, 267198604589286774829171, 20, 462, 552, 2220446049250313080847263336181640625, 27
Offset: 0

Views

Author

Juri-Stepan Gerasimov, Nov 08 2008

Keywords

Comments

a(36) has 8261 decimal digits.

Examples

			a(4) = 4^5 = 1024,
a(6) = 7*8 = 56,
a(8) = 10^11 = 100000000000,
a(9) = 12^13 = 19216339899072,
a(10) = 14*15 = 210,
a(12) = 17^18*19 = 266314164608823014829171,
etc.

Links

Crossrefs

Cf. A141269, A141270.

Programs

  • Mathematica
    j = k = 0; f[n_] := Flatten@ Riffle[Map[If[#2 == 1, {}, {"~Power~"}] & @@ # &, FactorInteger[n]], "~Times~"]; Array[(j = k; k += #2 + 1; ToExpression@ Apply[StringJoin, Riffle[Map[ToString, j + Range[0, #2]], #1]]) & @@ {#, Length[#]} &@ f[#] &, 22, 0] (* Michael De Vlieger, Oct 24 2022 *)

Extensions

a(9) and a(12) corrected and 2 terms appended by R. J. Mathar, Apr 14 2010
Offset 0 from Michael De Vlieger, Oct 24 2022

A143653 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13,..) becomes (0^(1*2), 3^(2*2), 5^(2*3), 7^(2*3), 3^(2*2), 5^(11*2), 2^(3*13),..).

Original entry on oeis.org

0, 81, 15625, 117649, 81, 2384185791015625, 549755813888, 2097152, 390625, 24137569, 274877906944, 32768, 3909821048582988049, 148035889, 59049, 549755813888, 81, 10367793076318844190248738727596255138212949486449
Offset: 1

Views

Author

Juri-Stepan Gerasimov, Nov 01 2008

Keywords

Examples

			0^(1*2)=0^2=0=a(1).
3^(2*2)=3^4=81=a(2).
5^(2*3)=5^6=15625=a(3).
7^(2*3) =7^6=117649=a(4).
3^(2*2)=3^4=81=a(5).
5^(11*2)=5^22=2384185791015625=a(6).
2^(3*13) =2^39=549755813888=a(7).
2^(7*3)=2^21=2097152=a(8), etc.

Crossrefs

Cf. A141269, A141270.

Extensions

a(6), a(11) corrected, extended by R. J. Mathar, Nov 06 2008

A136739 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13, ...) transform in (0*(1+2), 3*(2+2), 5*(2+3), 7*(2+3), 3*(2+2), 5*(11+2), 2*(3+13), ...).

Original entry on oeis.org

0, 12, 25, 35, 12, 65, 32, 20, 30, 85, 42, 16, 91, 115, 21, 32, 12, 217, 108, 16, 209, 45, 10, 777, 45, 138, 20, 172, 55, 125, 282, 27, 14, 57, 132, 12, 65, 30, 589, 236, 198, 68, 18, 108, 28, 268, 442, 24, 355, 225, 80, 20, 52, 55, 1053, 32, 172, 332, 36, 765, 93, 300
Offset: 1

Views

Author

Juri-Stepan Gerasimov, Oct 31 2008

Keywords

Examples

			a(1) = 0*(1+2)  = 0;
a(2) = 3*(2+2)  = 12;
a(3) = 5*(2+3)  = 25;
a(4) = 7*(2+3)  = 35;
a(5) = 3*(2+2)  = 12;
a(6) = 5*(11+2) = 65;
a(7) = 2*(3+13) = 32;
a(8) = 2*(7+3)  = 20; etc.

Links

Crossrefs

Cf. A141269, A141270.

Programs

  • Mathematica
    #1 (#2 + #3) & @@ # & /@ Partition[#, 3, 3] &@ Flatten[{0}~Join~Array[Map[If[Last@ # == 1, First@ #, #] &, FactorInteger@ #] &, 89]] (* Michael De Vlieger, Jan 01 2017 *)

Extensions

Entries checked by R. J. Mathar, Apr 25 2010

A143652 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13, ...) becomes (0^(1+2), 3^(2+2), 5^(2+3), 7^(2+3), 3^(2+2), 5^(11+2), 2^(3+13), ...).

Original entry on oeis.org

0, 81, 3125, 16807, 81, 1220703125, 65536, 1024, 15625, 1419857, 2097152, 256, 96889010407, 6436343, 2187, 65536, 81, 157775382034845806615042743, 150094635296999121, 256, 61159090448414546291, 1953125, 32
Offset: 1

Views

Author

Juri-Stepan Gerasimov, Nov 01 2008

Keywords

Examples

			0^(1 + 2) = 0^3 = 0 = a(1).
3^(2 + 2) = 3^4 = 81 = a(2).
5^(2 + 3) = 5^5 = 3125 = a(3).
7^(2 + 3) = 7^5 = 16807 = a(4).
3^(2 + 2) = 3^4 = 81 = a(5).
5^(11 + 2) = 5^13 = 1220703125 = a(6).
2^(3 + 13) = 2^16 = 65536 = a(7).
2^(7 + 3) = 2^10 = 1024 = a(8), etc.

Crossrefs

Cf. A141269, A141270.

Programs

  • Maple
    pflat2 := proc(nmax) local a, ifs, n, p, c ; a := [0,1] ; for n from 2 to nmax do ifs := ifactors(n)[2] ; for p in ifs do a := [op(a),op(1,p)] ; if op(2,p) > 1 then a := [op(a),op(2,p)] ; fi; od: od: a ; end: pL := pflat2(120) : for n from 1 to nops(pL)-4 by 3 do printf("%d,", op(n, pL)^(op(n+1, pL)+op(n+2,pL)) ) ; od: # R. J. Mathar, Nov 06 2008

Extensions

Extended by R. J. Mathar, Nov 06 2008

A143666 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13,..) becomes (0^1*2, 3^2*2, 5^2*3, 7^2*3, 3^2*2, 5^11*2, 2^3*13,..).

Original entry on oeis.org

0, 18, 75, 147, 18, 97656250, 104, 384, 100, 867, 1048576, 96, 539, 1587, 486, 24576, 18, 6439811511626359453675214, 7533, 96, 2057, 156250, 16, 26011, 3188646, 9963, 56, 3698, 2662, 575, 8836, 4374, 64, 258280326, 434176, 24, 97656250, 6561, 10469
Offset: 1

Views

Author

Juri-Stepan Gerasimov, Nov 01 2008

Keywords

Examples

			0^1*2=0*2=0=a(1).
3^2*2=9*2=18=a(2).
5^2*3=25*3=75=a(3).
7^2*3=49*3=147=a(4).
3^2*2=9*2=18=a(5).
5^11*2=48828125*2=97656250=a(6).
2^3*13 =8*13=104=a(7).
2^7*3=128*3=384=a(8), etc.

Crossrefs

Cf. A141269, A141270.

Extensions

Extended by R. J. Mathar, Nov 06 2008

A136736 (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13,..) transform in ((0+1)^2, (3+2)^2, (5+2)^3, (7+2)^3, (3+2)^2, (5+11)^2, (2+3)^13,..).

Original entry on oeis.org

1, 25, 343, 729, 25, 256, 1220703125, 729, 2401, 6859, 441, 343, 31381059609, 15625, 64, 3375, 25, 1296, 9903520314283042199192993792, 343, 8650415919381337933, 144, 25, 1699133621328831977374894383159, 256
Offset: 1

Views

Author

Juri-Stepan Gerasimov, Oct 31 2008

Keywords

Examples

			(0+1)^2=1=a(1).
(3+2)^2=25=a(2).
(5+2)^3=343=a(3).
(7+2)^3 =729=a(4).
(3+2)^2=25=a(5).
(5+11)^2=256=a(6).
(2+3)^13 =1220703125=a(7).
(2+7)^3=729=a(8), etc.

Crossrefs

Cf. A141269, A141270.

Extensions

More terms from R. J. Mathar, Apr 25 2010
Showing 1-10 of 14 results. Next

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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