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 1-3 of 3 results.

A078274 a(n) is the number from which if odd-positioned digits are deleted then one gets the concatenation of first n odd numbers, while if even-positioned digits are deleted then one gets reverse concatenation of first n odd numbers. Position of least significant digit is considered to be 1.

Original entry on oeis.org

11, 1331, 153351, 17355371, 1937557391, 11315977951311, 113351719917151331, 1135517391111917351351, 11375175911311113917551371, 113951779115111331115917751391, 1231517991171115311351117917952311, 12335271911911173115511371119927152331
Offset: 1

Views

Author

Amarnath Murthy, Nov 25 2002

Keywords

Comments

a(n) is formed by interleaving the digits of A019519(n) and A038395(n). - Sean A. Irvine, Jun 26 2025

Examples

			a(4) = 17355371: deleting alternate digits starting from the LSD gives 1357. Deleting the other digits gives 7531.
		

Crossrefs

Programs

  • PARI
    a(n) = {my(d, v=w=[1]); for(i=2, n, v=concat(v, d=digits(2*i-1)); w=concat(d, w)); fromdigits(vector(2*#v, i, if(i%2, v[1+i\2], w[i/2]))); } \\ Sean A. Irvine, Jun 26 2025

Extensions

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 19 2003
Corrected and extended by Harvey P. Dale, Apr 11 2012
Original terms restored by Sean A. Irvine, Jun 26 2025

A078275 a(n) is the number from which if odd-positioned digits are deleted then one gets the concatenation of first n even numbers, while if even-positioned digits are deleted then one gets reverse concatenation of first n even numbers. Position of least significant digit is considered to be 1.

Original entry on oeis.org

22, 2442, 264462, 28466482, 214068861402, 2142618018061422, 21446182110018261442, 214661841102112018461462, 2148618611041122114018661482, 22406188110611241142116018862402, 224262801108112611441162118028062422, 2244628212001128114611641182210028262442
Offset: 1

Views

Author

Amarnath Murthy, Nov 25 2002

Keywords

Examples

			a(4) = 28466482: deleting alternate digits starting from the LSD gives 2468. Deleting the other ones gives 8642.
		

Crossrefs

Programs

  • PARI
    a(n) = {my(d, v=w=[2]); for(i=2, n, v=concat(v, d=digits(2*i)); w=concat(d, w)); fromdigits(vector(2*#v, i, if(i%2, v[1+i\2], w[i/2]))); } \\ Jinyuan Wang, May 17 2020

Extensions

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 19 2003
a(11)-a(12) from Jinyuan Wang, May 17 2020

A078277 a(n) = A078274(n)/11.

Original entry on oeis.org

1, 121, 13941, 1577761, 176141581, 1028725268301, 10304701810650121, 103228853737447031941, 1034106901028283083413761, 10359252646828302828719795581, 111956181015555937395556174359301, 1121388355628288465046488283629741121
Offset: 1

Views

Author

Amarnath Murthy, Nov 25 2002

Keywords

Crossrefs

Programs

  • PARI
    a(n) = {my(d, v=w=[1]); for(i=2, n, v=concat(v, d=digits(2*i-1)); w=concat(d, w)); fromdigits(vector(2*#v, i, if(i%2, v[1+i\2], w[i/2])))/11; } \\ Jinyuan Wang, May 17 2020 [Updated by Sean A. Irvine, Jun 26 2025]

Extensions

More terms from Sean A. Irvine, Aug 15 2011
Corrected by Sean A. Irvine, May 30 2013
Correction reverted by Sean A. Irvine, Jun 26 2025
Showing 1-3 of 3 results.