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A338717 a(n) = sum of 4th powers of entries in row n of Stern's triangle A337277. 0
1, 3, 37, 395, 4277, 46251, 500213, 5409835, 58507765, 632765739, 6843407605, 74011952171, 800444658677, 8656867341099, 93624651434741, 1012557431099947, 10950882439229941, 118434591969329451, 1280878746784164085, 13852797030687146027, 149819009843990278133 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

Richard P. Stanley, Some Linear Recurrences Motivated by Stern's Diatomic Array, arXiv:1901.04647 [math.CO], 2019. Also American Mathematical Monthly 127.2 (2020): 99-111.

Index entries for linear recurrences with constant coefficients, signature (10,9,-2).

FORMULA

G.f.: -(2*x^2+7*x-1)/((x+1)*(2*x^2-11*x+1)). - Alois P. Heinz, Nov 19 2020

CROSSREFS

Cf. A337277.

For 2nd and 3rd powers see A052984, A169634.

Sequence in context: A326246 A036942 A183960 * A336242 A054596 A155667

Adjacent sequences:  A338714 A338715 A338716 * A338718 A338719 A338720

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Nov 19 2020

STATUS

approved

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Last modified June 13 07:45 EDT 2021. Contains 344981 sequences. (Running on oeis4.)