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.

A066550 Sum of digits of n-th term of A066549.

Original entry on oeis.org

2, 8, 9, 12, 17, 27, 27, 42, 63, 21, 29, 45, 49, 61, 52, 60, 75, 56, 88, 94, 83, 119, 98, 139, 105, 131, 147, 158, 185, 182, 107, 91, 88, 90, 113, 118, 129, 135, 155, 166, 173, 188, 189, 204, 191, 147, 124, 183, 176, 197, 208, 253, 251, 254, 240, 194, 199, 218, 243
Offset: 1

Views

Author

Amarnath Murthy, Dec 16 2001

Keywords

Crossrefs

Extensions

Corrected and extended by Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 01 2003

A066582 Product of nonzero digits of A066549(n).

Original entry on oeis.org

2, 15, 7, 21, 108, 2268, 5040, 79380, 20575296, 147, 1134, 102060, 555660, 1102248, 1524096, 48988800, 1365590016, 17360406, 437482231200, 559977255936, 92876046336, 743317957509120, 4592700000000, 133978933305000000
Offset: 1

Views

Author

Amarnath Murthy, Dec 21 2001

Keywords

Examples

			The third term of A066549 is 711 hence a(3) = 7.
		

Crossrefs

Cf. A066549.

Extensions

More terms from Sascha Kurz, Jan 28 2003

A066551 Let N =149162536496481100121441691962252562893243614..., the concatenation of the squares. a(n) is the n-digit number formed from the digits of N starting from the {n(n-1)/2 +1}th digit. Omit any leading zeros.

Original entry on oeis.org

1, 49, 162, 5364, 96481, 100121, 1441691, 96225256, 289324361, 4004414845, 29576625676, 729784841900, 9611024108911, 56122512961369, 144415211600168, 1176418491936202, 52116220923042401, 250026012704280929, 1630253136324933643, 48136003721384439694, 96422543564489462447
Offset: 1

Views

Author

Amarnath Murthy, Dec 16 2001

Keywords

Comments

Are there any squares in this sequence other than 1 and 49?
No other squares in a(3)..a(10^5). - Michael S. Branicky, May 23 2025

Crossrefs

Programs

  • Mathematica
    With[{c=Flatten[IntegerDigits/@(Range[100]^2)]},Table[FromDigits[Take[c,{(n(n-1))/2+1,(n(n-1))/2+n}]],{n,20}]] (* Harvey P. Dale, Jul 21 2012 *)
  • Python
    from itertools import count, islice
    def agen(): # generator of terms
        N, i = [], 1
        for n in count(1):
            target = n*(n-1)//2
            while len(N) <= target+n+1:
                N.extend(list(str(i**2)))
                i += 1
            yield int("".join(N[target:target+n]))
    print(list(islice(agen(), 21))) # Michael S. Branicky, May 23 2025

Extensions

Corrected and extended by Lior Manor, Feb 13 2002
a(19) and beyond from Michael S. Branicky, May 23 2025

A066552 Sum of digits of n-th term of A066551.

Original entry on oeis.org

1, 13, 9, 18, 28, 5, 26, 37, 38, 34, 61, 59, 43, 58, 44, 64, 44, 59, 67, 85, 98, 89, 109, 121, 124, 144, 47, 82, 94, 104, 135, 139, 145, 103, 95, 135, 184, 162, 143, 173, 157, 151, 198, 194, 199, 218, 148, 234, 231, 261, 257, 226, 297, 169, 192, 179, 163, 195, 216
Offset: 1

Views

Author

Amarnath Murthy, Dec 16 2001

Keywords

Crossrefs

Programs

  • Mathematica
    With[{c=Flatten[IntegerDigits/@(Range[400]^2)]},Table[Total[Take[c,{(n(n-1))/2+1,(n(n-1))/2+n}]],{n,60}]] (* Harvey P. Dale, Jul 21 2012 *)

Extensions

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 01 2003

A122548 Let N = 35711171923293137..., the concatenation of the odd primes. a(n) is the n-digit number formed from the digits of N starting from the {n(n-1)/2 +1}th digit. Omit any leading zeros.

Original entry on oeis.org

3, 57, 111, 3171, 92329, 313741, 4347535, 96167717, 379838997, 1011031071, 9113127131, 137139149151, 1571631671731, 79181191193197, 199211223227229, 2332392412512572, 63269271277281283, 293307311313317331
Offset: 1

Views

Author

Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 19 2006

Keywords

Crossrefs

Cf. A066549.
Showing 1-5 of 5 results.