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.

A116112 Numbers k such that k concatenated with k-7 gives the product of two numbers which differ by 7.

Original entry on oeis.org

17, 35, 10408517, 45884051, 62918301, 1116290522645838319925, 1491109615209578451401, 2254276950187476704727, 2758431647767103545151, 3768131911733856383477, 4434103687048263321737, 5230580700713956424051
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Comments

Also numbers k such that k concatenated with k-1 gives the product of two numbers which differ by 5.
Also numbers k such that k concatenated with k+3 gives the product of two numbers which differ by 3.
Also numbers k such that k concatenated with k+5 gives the product of two numbers which differ by 1.

Examples

			62918301//62918300 = 79321055 * 79321060, where // denotes concatenation.
62918301//62918304 = 79321056 * 79321059.
62918301//62918306 = 79321057 * 79321058.

Crossrefs

Cf. A116107, A115426, A116113, A116119, A116243.
Cf. A116163, A115429, A116158, A116281.
Cf. A116171, A116177, A116179, A116185, A116309, A115430, A116322.

Extensions

Edited by N. J. A. Sloane, Apr 15 2007

A160379 Number of ON cells at n-th stage of three-dimensional version of the cellular automaton A160117 using cubes.

Original entry on oeis.org

0, 1, 27, 35, 235, 261, 881, 937, 2241, 2339, 4591, 4743, 8207, 8425, 13365, 13661, 20341, 20727, 29411, 29899, 40851, 41453, 54937, 55665, 71945, 72811, 92151, 93167, 115831, 117009, 143261, 144613, 174717, 176255, 210475, 212211, 250811, 252757, 296001
Offset: 0

Views

Author

Omar E. Pol, May 11 2009

Keywords

Comments

Each cell has 26 neighbors.

Links

Crossrefs

Cf. A139250, A139251, A160117, A160118, A116119, A160160.

Formula

a(2n) = 46n^3 - 57n^2 + 57n - 19 for n>=1, a(2n+1) = 46n^3 - 51n^2 + 57n - 17 for n>=1. [Nathaniel Johnston, Nov 06 2010]
G.f.: x*(18*x^3+x^2+26*x+1)*(x^4+4*x^2+1) / ((x-1)^4*(x+1)^3). - Colin Barker, Feb 28 2013

Extensions

Edited by Omar E. Pol, Sep 05 2009
a(6) - a(27) from Nathaniel Johnston, Nov 06 2010
a(28) - a(38) from Colin Barker, Feb 28 2013

A116132 Numbers k such that k concatenated with k-4 gives the product of two numbers which differ by 7.

Original entry on oeis.org

74, 59264, 510782, 906902, 81790664, 92776472, 10876856041862, 11796926254874, 18332259798794, 18388650720624, 32624670587648, 32699883214248, 43103618706398, 44916698243804, 66132258426302
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Examples

			92776472//92776468 = 96320541 * 96320548, where // denotes concatenation.

Crossrefs

Cf. A116119, A116131, A116133, A116205, A116263.

A116118 Numbers k such that k concatenated with k-6 gives the product of two numbers which differ by 5.

Original entry on oeis.org

10, 12, 100, 102, 132, 406, 510, 852, 1000, 1002, 7930, 10000, 10002, 66942, 100000, 100002, 113322, 440056, 1000000, 1000002, 5289256, 10000000, 10000002, 58477510, 100000000, 100000002, 111333222, 164378892, 183673470
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Examples

			1000000000//999999994 = 999999998 * 1000000003, where // denotes concatenation.

Crossrefs

Cf. A116105, A115431, A116119, A116124, A116249.

A116250 n times n+7 gives the concatenation of two numbers m and m-6.

Original entry on oeis.org

95, 384, 428, 566, 610, 813, 995, 4520, 5474, 9995, 90909, 99995, 316831, 683163, 999995, 3636363, 6363631, 9999995, 82352941, 99999995, 331668331, 368421052, 395604390, 442767753, 461538461, 488721799, 511278195, 538461533
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Crossrefs

Cf. A116119, A116243, A116249, A116263.
Showing 1-5 of 5 results.

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

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