A123659 -id:A123659 - cp's OEIS frontend

A123656 a(n) = 1 + n^4 + n^6.

3, 81, 811, 4353, 16251, 47953, 120051, 266241, 538003, 1010001, 1786203, 3006721, 4855371, 7567953, 11441251, 16842753, 24221091, 34117201, 47176203, 64160001, 85960603, 113614161, 148315731, 191434753, 244531251, 309372753, 387951931

Offset: 1

Jonathan Vos Post, Oct 04 2006

G. C. Greubel, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Cf. A001358, A002523, A091940, A123177, A123657-A123659.

[1 + n^4 + n^6: n in [1..25]]; // G. C. Greubel, Oct 17 2017

Table[1 + n^4 + n^6, {n, 1, 50}] (* G. C. Greubel, Oct 17 2017 *)
LinearRecurrence[{7,-21,35,-35,21,-7,1},{3,81,811,4353,16251,47953,120051},30] (* Harvey P. Dale, May 10 2020 *)

a(n)=1+n^4+n^6 \\ Charles R Greathouse IV, Oct 07 2015

a(n) = 1 + n^4 + n^6.

G.f.: x*(3 +60*x +307*x^2 +272*x^3 +81*x^4 -4*x^5 +x^6)/(1-x)^7. - Colin Barker, May 25 2012

A123657 a(n) = 1 + n^4 + n^6 + n^9.

Original entry on oeis.org

4, 593, 20494, 266497, 1969376, 10125649, 40473658, 134483969, 387958492, 1001010001, 2359733894, 5162787073, 10609354744, 20668614737, 38454800626, 68736319489, 118612097588, 198393407569, 322734873982, 512064160001

Offset: 1

Jonathan Vos Post, Oct 04 2006

G. C. Greubel, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Cf. A001358, A002523, A091940, A123177, A123656-A123659.

[1 + n^4 + n^6 + n^9: n in [1..25]]; // G. C. Greubel, Oct 17 2017

Table[1 + n^4 + n^6 + n^9, {n, 1, 50}] (* G. C. Greubel, Oct 17 2017 *)

a(n)=n^9+n^6+n^4+1 \\ Charles R Greathouse IV, Oct 16 2015

a(n) = 1 + n^4 + n^6 + n^9 = 1001010001 (base n).

G.f.: -x*(x^9 -8*x^8 -406*x^7 -14592*x^6 -88496*x^5 -156316*x^4 -87762*x^3 -14744*x^2 -553*x -4)/(x-1)^10. - Colin Barker, May 27 2012

A123658 a(n) = 1 + n^4 + n^6 + n^9 + n^10.

Original entry on oeis.org

5, 1617, 79543, 1315073, 11735001, 70591825, 322948907, 1208225793, 3874742893, 11001010001, 28297158495, 67080151297, 148467846593, 309923269713, 615105191251, 1168247947265, 2134605998037, 3768860634193, 6453801131783, 10752064160001, 17474246985385

Offset: 1

Jonathan Vos Post, Oct 04 2006

			a(40) = 1+40^(A001358(1))+40^(A001358(2))+40^(A001358(3))+40^(A001358(4)) = 1+40^4+40^6+40^9+40^10 = 10747908098560001.

T. D. Noe, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Cf. A001358, A002523, A091940, A123177, A123656-A123659.

[1+n^4+n^6+n^9+n^10: n in [0..50]]; // G. C. Greubel, Oct 17 2017

Table[1+n^4+n^6+n^9+n^10, {n,1,50}] (* G. C. Greubel, Oct 17 2017 *)
LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{5,1617,79543,1315073,11735001,70591825,322948907,1208225793,3874742893,11001010001,28297158495},30] (* Harvey P. Dale, Jul 11 2025 *)

a(n)=1+n^4+n^6+n^9+n^10 \\ Charles R Greathouse IV, Oct 07 2015

a(n) = 1 + n^4 + n^6 + n^9 + n^10.

G.f.: x*(x^10 -8*x^9 +615*x^8 +33654*x^7 +381288*x^6 +1242534*x^5 +1378908*x^4 +528210*x^3 +62031*x^2 +1562*x +5)/(1-x)^11. - Colin Barker, May 27 2012

cp's OEIS Frontend

A123656 a(n) = 1 + n^4 + n^6.

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A123657 a(n) = 1 + n^4 + n^6 + n^9.

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A123658 a(n) = 1 + n^4 + n^6 + n^9 + n^10.

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Mathematica

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