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A316966 Same as A316671, except numbering of the squares starts at 0 rather than 1. 1
0, 4, 3, 11, 10, 22, 21, 37, 36, 56, 55, 79, 78, 106, 105, 137, 136, 172, 171, 211, 210, 254, 253, 301, 300, 352, 351, 407, 406, 466, 465, 529, 528, 596, 595, 667, 666, 742, 741, 821, 820, 904, 903, 991, 990, 1082, 1081, 1177, 1176, 1276, 1275, 1379, 1378 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

See A316671 for further information.

LINKS

Daniël Karssen, Table of n, a(n) for n = 0..9999

Daniël Karssen, Figure showing the first 6 steps of the sequence

Index entries for linear recurrences with constant coefficients, signature (1,2,-2,-1,1).

FORMULA

a(n) = A316671(n+1) - 1.

From Colin Barker, Jul 19 2018: (Start)

G.f.: x*(4 - x + x^3) / ((1 - x)^3*(1 + x)^2).

a(n) = a(n-1) + 2*a(n-2) - 2*a(n-3) - a(n-4) + a(n-5) for n>4. (End)

a(n) = 1 + (n + 2)*(n - (-1)^n)/2. - Bruno Berselli, Jul 19 2018

MATHEMATICA

Table[1 + (n + 2) (n - (-1)^n)/2, {n, 0, 60}] (* Bruno Berselli, Jul 19 2018 *)

PROG

(PARI) concat(0, Vec(x*(4 - x + x^3) / ((1 - x)^3*(1 + x)^2) + O(x^40))) \\ Colin Barker, Jul 19 2018

CROSSREFS

Cf. A316671.

Cf. A128918: it is provided by a(-n-1).

Sequence in context: A005013 A241643 A086564 * A295727 A200073 A080777

Adjacent sequences:  A316963 A316964 A316965 * A316967 A316968 A316969

KEYWORD

nonn,easy

AUTHOR

Daniël Karssen, Jul 17 2018

STATUS

approved

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Last modified August 4 09:23 EDT 2021. Contains 346445 sequences. (Running on oeis4.)