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 1-5 of 5 results.

A116249 n times n+5 gives the concatenation of two numbers m and m-6.

Original entry on oeis.org

8, 9, 98, 99, 361, 635, 712, 921, 998, 999, 8903, 9998, 9999, 81816, 99998, 99999, 336631, 663365, 999998, 999999, 7272725, 9999998, 9999999, 76470587, 99999998, 99999999, 333666331, 405436666, 428571427, 447710183, 454545452
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Crossrefs

A116254 k times k+4 gives the concatenation of two numbers m and m-5.

Original entry on oeis.org

89, 9077, 9899, 733672, 998999, 88225293, 99989999, 8900869206, 9296908810, 9604060395, 9999899999, 326666333265, 673333666732, 700730927006, 972603739725, 999998999999, 34519562953735, 39737862788836, 49917309624954, 50082690375043, 60262137211161, 65480437046262
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Crossrefs

Programs

  • Python
    from itertools import count, islice
    from sympy import sqrt_mod
    def A116254_gen(): # generator of terms
        for j in count(0):
            b = 10**j
            a = b*10+1
            for k in sorted(sqrt_mod(-1,a,all_roots=True)):
                m = (k**2+1)//a
                if a*(b+4) <= k**2+1 < a*(a+3):
                    yield k-2
    A116254_list = list(islice(A116254_gen(),40)) # Chai Wah Wu, Feb 19 2024

Extensions

a(19)-a(22) from Chai Wah Wu, Feb 19 2024

A116256 Numbers k such that k*(k+6) gives the concatenation of two numbers m and m-5.

Original entry on oeis.org

6, 96, 450, 545, 688, 853, 996, 4379, 5616, 9996, 72727, 99996, 346530, 653465, 999996, 9090905, 9999996, 94117643, 99999996, 334665330, 336032384, 378253325, 390977439, 439928488, 483516483, 516483512, 560071507
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Crossrefs

A116261 Numbers k such that k*(k+5) gives the concatenation of two numbers m and m-4.

Original entry on oeis.org

7, 97, 766, 857, 909, 997, 3284, 6712, 9997, 45451, 54545, 99997, 990099, 999997, 8181818, 9999997, 70588232, 99999997, 343130553, 362637362, 363636360, 420053630, 421052631, 497975708, 502024288, 578947365, 579946366
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Crossrefs

A116124 Numbers k such that k concatenated with k-5 gives the product of two numbers which differ by 5.

Original entry on oeis.org

61, 65479, 84289, 106609, 225649, 275599, 453589, 1869505, 2272555, 2738291, 3221951, 1667833021, 2475062749, 2525062249, 3500010739, 9032526511, 9225507211, 1753016898055, 1860598847399, 3233666953849, 3379207972471
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Examples

			9225507211//9225507206 = 9604950394 * 9604950399, where // denotes concatenation.
		

Crossrefs

Showing 1-5 of 5 results.